I finally saw quantum mechanics with my own eyes... (It's spookier than I expected) — Transcript
Full transcript
- 0:00- This is liquid helium.
- 0:01It's currently sitting at negative 269 degrees Celsius.
- 0:05That's just four degrees above absolute zero.
- 0:08But watch what happens if you start cooling it down.
- 0:13It starts to boil violently.
- 0:15- That's aggressive. - There are bubbles everywhere.
- 0:20That is until 2.17 Kelvin.
- 0:23At that point, something strange happens.
- 0:29The helium has transformed into a superfluid.
- 0:33- Ooh. It's completely still again.
- 0:36- What we've got is a beaker with a leak tight aerogel base.
- 0:42- This beaker holds the liquid helium well,
- 0:45but the moment it turns superfluid, it starts to leak
- 0:49through.
- 0:50- Oh, the transition below is
- 0:52happening. Yeah, it's dripping.
- 0:53- Yeah, it's dripping on the right.
- 0:56- And the colder it gets, the faster it pours.
- 1:00- Oh wow. That's gorgeous. So fast.
- 1:05- That's spectacular.
- 1:08Superfluid helium can do things that seem impossible.
- 1:11If you put it in a cup, a thin film climbs up
- 1:14and over the walls, so it empties itself.
- 1:18You can also use superfluid helium to create a fountain
- 1:21with no moving parts.
- 1:23It is powered solely by light.
- 1:26Scientists spent 30 years looking at this liquid without
- 1:28realizing what they had created.
- 1:30- This is really one of the great phenomenon
- 1:32in 20th century physics,
- 1:34- And it makes you look at matter in a different way.
- 1:36It allows us to explore the boundary of quantum
- 1:40and regular matter.
- 1:42So we teamed up with the gravity laboratory at Nottingham
- 1:44University to recreate the experiments
- 1:47and to find out what really happens when you just
- 1:50keep cooling down.
- 1:59The obsession with cooling things down as much
- 2:01as possible began in the 1800s.
- 2:04People noticed that when you let a gas expand against a
- 2:07piston, its temperature drops.
- 2:10That's because as the particles hit the piston,
- 2:12they give it a little push
- 2:13and transfer some of their energy to the piston.
- 2:16So the particles slow down and their temperature decreases.
- 2:21Lord Kelvin learned of this
- 2:22and realized it offered a tantalizing possibility, that
- 2:26of an absolute temperature scale.
- 2:30Imagine that you let the gas expand an extreme amount
- 2:33to the point where all the particles effectively stop.
- 2:37The particles no longer exert any force on the piston
- 2:40and they have no more energy left to give.
- 2:43This would be the absolute coldest you could get,
- 2:47absolute zero.
- 2:51Kelvin quickly computed what temperature it corresponded to
- 2:54and found it was around negative 273 degrees Celsius.
- 2:59People speculated
- 3:00what strange things might happen down there, a place
- 3:03with no thermal motion.
- 3:05Kelvin himself suggested that metals,
- 3:07which are normally great conductors of electricity,
- 3:10might turn into perfect insulators
- 3:12and not conduct any electricity at all.
- 3:15But there was only one way to find out
- 3:17and that was you had to get there.
- 3:20Fortunately, the race
- 3:21to absolute zero was already well underway.
- 3:25It had started by accident 25 years earlier.
- 3:28In 1823, Michael Faraday was playing around
- 3:31with chlorine hydrate
- 3:32and his scientific mentor suggested
- 3:34that heating it in a sealed tube might lead
- 3:37to some interesting results.
- 3:39So Faraday sealed it up, warmed it in water,
- 3:44and watched as a yellow atmosphere emerged.
- 3:48Then as the pressure increased to around four atmospheres,
- 3:51he noticed that a bright yellow fluid formed.
- 3:54He had just turned chlorine gas into chlorine liquid.
- 3:59Faraday then went on a bit of a liquefying spree,
- 4:02liquefying six more gases within five weeks.
- 4:05But just as he was hitting his stride, he hit a wall.
- 4:09Some gases like ethylene refused to liquefy no matter
- 4:13how much he squeezed them.
- 4:15To see why you need to zoom into a gas.
- 4:19There you'd find a bunch of particles whizzing around
- 4:21as fast as tiny bullets.
- 4:24And while it might not seem like it,
- 4:25the particles also attract each other.
- 4:29It's just that they're so spread out
- 4:30that they meet relatively little,
- 4:32and when they do, they're going so fast
- 4:34that they mostly just bounce off each other.
- 4:37In some cases though, if you squeeze the particles together
- 4:40by increasing the pressure, you can get those particles
- 4:43to stick together and slide past each other.
- 4:45In other words, you get a liquid.
- 4:47This is what happened with Faraday's chlorine,
- 4:50but that doesn't work for all gases.
- 4:52If the attraction between particles isn't strong enough
- 4:54and the particles are too hot, then no amount
- 4:57of squeezing can get them to liquefy.
- 5:00And this is what happened with ethylene.
- 5:03Luckily, there is another way.
- 5:06If you cool the gas down, the particles will slow
- 5:09and eventually they start sticking together
- 5:11and sliding past each other and you get your liquid.
- 5:16So to liquefy more tricky gases,
- 5:19Faraday needed colder temperatures and he got a lucky break.
- 5:23A French inventor had discovered how to make dry ice,
- 5:25which was about negative 79 degrees Celsius.
- 5:28So 20 years after his initial chlorine
- 5:31success, he tried again.
- 5:33Faraday put ethylene gas in a glass tube with a bend,
- 5:36compressed it using pumps,
- 5:38and then lowered the bend into a bath of dry ice and ether.
- 5:41As the dry ice cooled, the ethylene,
- 5:44a clear colorless liquid formed.
- 5:47Faraday used the same technique
- 5:48and liquefied five more gases pursuing ever colder
- 5:51temperatures in the process
- 5:53and getting all the way down to negative 110 degrees Celsius
- 5:56or 163 Kelvin.
- 5:58But six gases still resisted his attempts, including oxygen,
- 6:02hydrogen and nitrogen.
- 6:04He just couldn't get cold enough.
- 6:06Over the following decades,
- 6:08scientists all over the world picked up
- 6:10where Faraday had left off.
- 6:11Liquefying a new gas became a matter of national pride
- 6:16and the race to absolute zero was on.
- 6:20In 1883, two Polish scientists liquefied oxygen and nitrogen
- 6:24and the record low temperature fell to 77 Kelvin.
- 6:2715 years later, James Dewar liquified hydrogen at 20 Kelvin
- 6:31before freezing it at 14.
- 6:34By the turn of the 20th century,
- 6:36there was just one gas left standing, helium,
- 6:39but some thought helium might be impossible to liquefy.
- 6:43And there was good reason to think that
- 6:45because to turn a gas into a liquid, its particles have
- 6:48to attract each other.
- 6:50But helium is a very simple element.
- 6:53Its most common isotope consists of two protons,
- 6:56two neutrons and two electrons.
- 6:58Electrons form shells around the nucleus
- 7:00and helium, like all noble gases, has a full outer shell.
- 7:05So it isn't really seeking to gain or lose any electrons,
- 7:08and as a result, it doesn't really
- 7:10bind together with anything.
- 7:12That made people wonder whether helium atoms
- 7:15attract each other at all.
- 7:16And if they didn't, you could cool down helium as much
- 7:19as you wanted, but you would never get a liquid.
- 7:22And even if the atoms did attract each other, well,
- 7:25the attraction might be so small
- 7:27that its liquefaction temperature could be much colder than
- 7:30anyone could practically reach.
- 7:34So when Heike Kamerlingh Onnes set his sights on liquefying
- 7:38helium, he knew he was in for a challenge.
- 7:41Onnes had joined the race to absolute zero in 1882,
- 7:44and since then he'd been building an industrial scale
- 7:47laboratory in Leiden, complete with chemists, technicians,
- 7:51glassblowers, and massive liquefiers.
- 7:53By 1906, he too had liquefied hydrogen,
- 7:56and from then on, he dedicated himself fully
- 7:59to liquefying helium.
- 8:02But working with helium came with two major problems.
- 8:06For one thing, just getting it was difficult.
- 8:09Remember, helium doesn't react with anything,
- 8:12so there are no compounds you can get helium from,
- 8:15and the air only contains around five parts per million.
- 8:19So on earth, there's almost no helium,
- 8:22which is at least a little surprising
- 8:24because in the universe, helium is everywhere.
- 8:26It's the second most abundant element after hydrogen.
- 8:30The issue is just how light helium is.
- 8:33Release any helium and it mixes into the air.
- 8:36Over hundreds of thousands of years, it slowly drifts up
- 8:39to the top of the atmosphere where it gets heated up
- 8:42by the sun and it speeds up.
- 8:44Now, a small fraction ends up going faster than 11
- 8:47kilometers per second, which is Earth's escape velocity,
- 8:51the velocity required to escape Earth's gravitational well.
- 8:55And so it escapes into space.
- 8:57A much larger fraction gets ionized by solar radiation
- 9:00and then gets carried away
- 9:02by the polar winds along the Earth's magnetic field
- 9:04before ultimately merging with the solar wind.
- 9:07And either way, the outcome is the same.
- 9:10The helium is lost to space forever.
- 9:13So if I pop this balloon, that helium is effectively gone.
- 9:18As a result, pure helium at the time was hard to come by
- 9:22and the world's total supply was likely less than
- 9:2550 party balloons worth.
- 9:27So Onnes had to get his helium from a different source
- 9:31and he turned to sand, specifically two large bags
- 9:35of monazite sand.
- 9:37That's because monazite is a mineral that contains around 5%
- 9:41thorium by weight and thorium is radioactive.
- 9:45When it decays, it spits out an alpha particle,
- 9:47which is two protons and two neutrons.
- 9:50In other words, the nucleus of helium.
- 9:53That nucleus then gets slowed down by the surrounding rock
- 9:56where it steals two electrons and becomes a helium atom.
- 10:00So over millions of years, you get this buildup
- 10:02of helium atoms trapped inside the rock.
- 10:06In fact, basically all the helium we have on earth today
- 10:09comes from radioactive decay.
- 10:11It's essentially a radioactive fossil,
- 10:13although now we mostly get it from natural gas wells
- 10:16where it accumulates over the eons.
- 10:19But Onnes didn't have that luxury.
- 10:21He had to liberate it from the sand.
- 10:24So he recruited four chemists.
- 10:26They heated up the sand to release the gas, exploded it
- 10:30with oxygen, cooled it with liquid air
- 10:32to freeze out impurities, burned over copper oxide
- 10:36to get rid of the hydrogen,
- 10:37and last of all, compressed it over charcoal
- 10:40to absorb any remaining impurities.
- 10:42After several months, Onnes had about 25 party balloons
- 10:46of pure helium, an estimated 80% of the world supply.
- 10:52Onnes quickly conducted careful experiments to try
- 10:55and tease out whether helium
- 10:56atoms attract each other at all.
- 10:59- Kamerlingh Onnes did a lot of work
- 11:02and I think he was becoming more
- 11:04and more convinced that helium can in fact be liquefied.
- 11:08- It seemed like the helium atoms did attract each other
- 11:11just ever so slightly.
- 11:13So how do two neutral atoms that don't react
- 11:16with anything attract each other?
- 11:18Well, a helium atom is just a nucleus with two electrons
- 11:21around it, but in reality you never know exactly
- 11:24where those electrons are.
- 11:26So a more accurate picture looks like this, a nucleus
- 11:29with an electron cloud around it.
- 11:31But that cloud isn't always perfectly evenly distributed.
- 11:35At any particular instant,
- 11:36there's slightly more negative charge
- 11:38on one side than the other.
- 11:40And now if there's another helium atom close enough, well,
- 11:43this charge imbalance can induce a charge imbalance
- 11:46on that atom.
- 11:48And now the two exert a force of attraction on each other.
- 11:53This is known as a van der Waals force,
- 11:56and it's why every atom attracts every other if
- 11:59you get it close enough.
- 12:01But helium holds its two electrons very tightly,
- 12:04so the cloud hardly budges
- 12:05and the van der Waals force is tiny, the smallest
- 12:08of any element, but perhaps it's just enough.
- 12:13The second problem with helium is that no one knew exactly
- 12:16how cold it would have to get to liquefy, only that it had
- 12:20to be colder than liquid hydrogen, possibly much colder.
- 12:23And that's the issue
- 12:24because the rate at which heat transfers in from the
- 12:28environment depends on the temperature difference.
- 12:30The bigger the gap, the more heat flows in
- 12:33and cooling something down to possibly a few degrees
- 12:36above absolute zero while the room it's in is 290 degrees
- 12:40above it, well, that's a humongous gap.
- 12:44Fortunately, Dewar had already invented one
- 12:46key piece of apparatus.
- 12:49Essentially, one glass flask nested inside another
- 12:53with a vacuum in between.
- 12:55This limited heat conduction
- 12:56to a small connection point at the top.
- 12:59Convection got ruled out entirely due to the vacuum
- 13:02and optionally by covering the insides
- 13:04with a silver coating, you could also reflect radiation.
- 13:08This reduced heat losses by a factor of 30,
- 13:11and it's the basic design behind every thermos flask today.
- 13:15But for Onnes, it still wasn't good enough.
- 13:20So he nested several Dewar flasks inside each other.
- 13:24The helium would go in the inner one, a bath
- 13:27of liquid hydrogen would sit around that,
- 13:29and a bath of liquid air around that.
- 13:32So each layer acted as a heat shield for the next,
- 13:35and the helium would see a wall of 20 Kelvin instead of 300,
- 13:39cutting the radiated heat coming in by a factor of 50,000.
- 13:44To measure the temperature inside the inner vessel,
- 13:47Onnes inserted a small glass bulb filled
- 13:50with dilute helium gas held at a constant volume.
- 13:54A thin capillary connected this to
- 13:56what was essentially a pressure meter outside the liquefier,
- 14:00because for a gas at a constant volume,
- 14:02the temperature is directly proportional to the pressure.
- 14:06So if you first measure the baseline pressure at a
- 14:08temperature you know, like the freezing point of water
- 14:10around 273 Kelvin, you could set that to 100%.
- 14:16Then if you later measure a pressure that's only 10% of
- 14:19that amount, then the temperature must also be 10%
- 14:21of the original or around 27 Kelvin.
- 14:26By using this trick,
- 14:27Onnes could measure the temperature even at a few degrees
- 14:30above absolute zero.
- 14:32Now in their case, they read off a level of mercury,
- 14:35but for simplicity, we'll animate it as a temperature scale.
- 14:39Onnes finally had everything ready.
- 14:42At Professor Weinfurtner's gravity laboratory, we got
- 14:45to see the setup we'd use.
- 14:46- Is this also what it would have looked like back in the
- 14:49day when Onnes was doing it?
- 14:51- Yeah, so this is actually a really similar setup
- 14:53to Kamerlingh Onnes.
- 14:54- The biggest difference is that we only have two
- 14:57Dewars nested inside each other.
- 14:59The outer one will be filled with liquid nitrogen
- 15:01and the inner one is where the helium will go.
- 15:04By the 10th of July 1908, Onnes decided to go for it.
- 15:08He arrived at his lab around 5:30 AM
- 15:11where his technicians were already hard at work.
- 15:15They prepared 75 liters of liquid air the day before
- 15:18and Onnes now ordered them to start making liquid hydrogen.
- 15:22By 1:30 PM they had 20 liters, which was enough
- 15:25to launch their attack on helium.
- 15:31They started by filling the outer vessels.
- 15:34- First step, we're going to fill the outer
- 15:38Dewar with liquid nitrogen.
- 15:40That's going to precool the whole system down
- 15:42to about 77 Kelvin.
- 15:44Once we're full, we'll start filling with helium.
- 15:47So we've used about 25
- 15:52liters of nitrogen to get to that point.
- 15:54Now consider how big the Dewar is, that probably holds,
- 15:59you know, less than 10 liters.
- 16:02- With the liquid air and hydrogen in place, they started
- 16:04to cool the liquefier.
- 16:07After 30 minutes, it had cooled to 93 Kelvin.
- 16:11Now it was time to start cycling the helium.
- 16:14A pump compressed it to 100 atmospheres
- 16:16before it went to the liquefier, where it got precooled to
- 16:19around 15 Kelvin.
- 16:21The gas was then rapidly expanded into the inner vessel,
- 16:25greatly increasing the distance between atoms.
- 16:29But remember, helium atoms do slightly attract each other,
- 16:32so moving them apart costs energy
- 16:35and they pay for this with some of their kinetic energy,
- 16:38causing the particles to slow down
- 16:40and their temperature to drop.
- 16:44The gas then got pumped back to the compressor,
- 16:46but the smart thing was that they let this colder gas cool
- 16:49the incoming helium,
- 16:51slightly lowering its temperature before it expanded.
- 16:54And by doing this over
- 16:56and over, the incoming helium got colder and colder.
- 17:01- It's so faint. - Yeah.
- 17:06- It feels like a ghostly fluid or something.
- 17:08- You know, it's not liquid that's escaping.
- 17:10It's more of kind of a super dense vapor.
- 17:13It's only 10 degrees inside, but it's dropping fast.
- 17:18- A little after 6:30 PM, Onnes
- 17:20and his team had gotten down to six degrees
- 17:22above absolute zero.
- 17:24That is closer than anyone had ever gotten
- 17:26before, and they kept going.
- 17:29But just below five Kelvin, the temperature stopped falling,
- 17:34so they started to worry that perhaps something was wrong.
- 17:39But then a chemist in the room remarked, "It's so stable,
- 17:42it's almost as if the thermometer is submerged in a bath
- 17:45of liquid." So they rushed to the apparatus,
- 17:50but still saw nothing until Onnes grabbed a torch
- 17:54and shone it from a low angle, and they saw a reflection.
- 17:59After the surface had once been seen,
- 18:01it was no more lost sight of, Onnes wrote,
- 18:04"It stood out sharply defined like the edge
- 18:06of a knife against a glass wall."
- 18:10They had just made liquid
- 18:13helium.
- 18:15- That's really cool.
- 18:18It's just hitting the light on it while it's yeah.
- 18:21So beautiful. It's a, it's a helium kettle.
- 18:24- Four degrees above absolute zero.
- 18:28- You can see that really faint liquid level on the
- 18:31inside. That's the liquid helium.
- 18:33- Oh wow. Okay. So the, the refractive index
- 18:36of liquid helium is very close to air, is it?
- 18:38- 1.025. Okay.
- 18:40- So yeah, really, really difficult to see by eye. Wow.
- 18:43- Isn't it crazy to think that that is about four
- 18:47degrees above absolute zero? It doesn't look like.
- 18:51- It doesn't, there's nothing that would tip you off.
- 18:53- Yeah. Back in Leiden, everyone was elated.
- 18:58For the next hour, they ran basic experiments until
- 19:01by 8:30 PM only 10 millilitres were left.
- 19:05But then Onnes thought, "Well, we've made liquid helium.
- 19:08Why not make solid helium?" So he was going to cool it down,
- 19:12and the way you can cool down any liquid
- 19:15is by pumping on it.
- 19:16- When we pump on it, we're removing all
- 19:19of the hottest atoms from the system,
- 19:20which takes about a third of the fluid away.
- 19:22So we initially take the level way higher than we need it
- 19:25so it can drop down.
- 19:27- So Onnes started his pumps and so did we.
- 19:31- Are we ready? - Three, two, one, go.
- 19:36- Oh, - Wow. Okay.
- 19:41- Oh wow. It's gone down so much.
- 19:46It's gone down like, what, five centimeters?
- 19:49- Yeah, immediately. - Immediately.
- 19:51- Because we're removing all the
- 19:52hottest atoms from the system.
- 19:55So we're just shy of 3.5 K.
- 19:57- This rapidly evaporating helium is quickly cooling down.
- 20:01- So we're about 2.6 K. We're below 2.3 K.
- 20:06- Okay. - Oh,
- 20:07- It's going super fast, super - Fast.
- 20:09- It keeps boiling until right at 2.17 Kelvin,
- 20:13it abruptly stops
- 20:16and the liquid goes eerily quiet. There it is.
- 20:21- Ooh. It's completely still again.
- 20:24Man, you can hardly see it. It feels like a mirror surface.
- 20:28It's crazy how smooth that is.
- 20:30- Onnes pumped his helium down to 1.7 Kelvin,
- 20:35colder than outer space, but it didn't freeze.
- 20:39Instead, it just sat there, remarkably still.
- 20:43Onnes concluded it must just freeze at some lower
- 20:46temperature, and since everyone was exhausted,
- 20:49they called it a day.
- 20:50Little did he know what sat there evaporating in his flask.
- 21:02Onnes still wanted to freeze helium,
- 21:05so over the next two years, he tried several more times,
- 21:08getting all the way down to one Kelvin,
- 21:11but all his attempts failed.
- 21:14This led him to wonder whether helium will not remain
- 21:16perhaps liquid even if it is cooled to the absolute zero.
- 21:21And indeed, scientists later discovered this is true.
- 21:24If you take any substance
- 21:26and keep cooling it down, eventually it always freezes,
- 21:29except for helium.
- 21:32Somehow it's the only substance that never freezes
- 21:35by just cooling it down.
- 21:37So Onnes was wise when he gave up on
- 21:40trying to freeze helium.
- 21:42Instead, he set out to finally test Kelvin's prediction
- 21:44that the electrical conductivity
- 21:46of metals should stop near absolute zero.
- 21:49In other words, that their electrical resistance should
- 21:51become effectively infinite.
- 21:53To do this, he submerged different metals in liquid helium
- 21:57and measured their resistance.
- 21:58He started with gold and platinum,
- 22:01but their resistance just kept slowly decreasing
- 22:04until finally settling on a steady value.
- 22:07Then on the 8th of April, 1911, he measured mercury
- 22:11and wrote down just three words
- 22:17mercury practically zero.
- 22:20As you cooled down, its resistance slowly decreased until
- 22:24around 4.2 Kelvin, where it suddenly plummets to
- 22:28what appeared to be zero.
- 22:30Electricity that flowed with no apparent losses,
- 22:34the exact opposite of what Kelvin had hypothesized,
- 22:37Onnes had just discovered superconductivity.
- 22:41- So that's the story most people know.
- 22:44- Okay. - What most people don't know is that later
- 22:47that same day, he also cooled down the helium more
- 22:51and he wrote, "Right
- 22:52before the helium reached the coldest temperature,
- 22:56which was 1.8 Kelvin, the boiling suddenly stopped."
- 23:01- He noticed.
- 23:03- He noticed. - So what did Onnes do
- 23:07after seeing this sudden change?
- 23:09Almost nothing. He guessed at an ordinary
- 23:12explanation and moved on.
- 23:15But helium kept dropping clues.
- 23:18When they measured its density,
- 23:19they discovered it had a curious peak around 2.17 Kelvin.
- 23:23And when they measured the latent heat, they found that
- 23:26around the same temperature, something happened
- 23:28to the helium, which was perhaps even discontinuous.
- 23:32Yet the biggest smoking gun
- 23:34of all happened when they measured a property known
- 23:36as the specific heat, which is how much energy it takes
- 23:39to heat up one gram by one kelvin.
- 23:42They found that as the temperature dropped,
- 23:44the specific heat declined
- 23:46until they approached 2.17 Kelvin,
- 23:48where it suddenly shot up.
- 23:51This was as clear a sign as any
- 23:53that something was happening at this point.
- 23:56- But they knew what this was.
- 23:58This was condensation happening, you know,
- 24:01experimental error.
- 24:03So they had these points,
- 24:04but they, they wrote like,
- 24:06"We felt justified in disregarding these irregular points,
- 24:10and they only published the part above 2.61 Kelvin,
- 24:14which neatly fit the formula they had for it."
- 24:18- Onnes brushed off hint
- 24:20after hint, even while seeing it happen with his own eyes.
- 24:25One day, Onnes put one container of liquid helium
- 24:28inside another, and he noticed that below 2.17 Kelvin,
- 24:32if one level started higher, it always quickly evened out.
- 24:37He even remarked how strikingly fast it happened.
- 24:40He thought it was too fast for distillation,
- 24:43but since he had no better explanation, he stuck with that.
- 24:47If only he had raised his container,
- 24:49he might have discovered the truth.
- 24:51Here, we've got a polymer cup. This is our container.
- 24:55- So we got the bowl loaded up.
- 24:59It's way at the bottom, and I think what we're going to try
- 25:01and do is lift it up.
- 25:03- Yeah. The colder we get, the better this effect is going
- 25:05to be, and it's a super subtle effect at the best of times.
- 25:09We want to get down to about 1.5, 1.55 K.
- 25:13I'm going to try and raise it just above the fluid surface.
- 25:17- Whoa. - Can you see that?
- 25:20- Yeah, yeah, - Yeah. Yeah.
- 25:21- Yeah, no, you see like waves almost.
- 25:25- Yeah. - Yeah. Ah, you can really see a pulse down there.
- 25:29- If you look at the bottom, you can see it's dripping.
- 25:34And if we speed it up, you can see it keeps dripping.
- 25:38More and more liquid helium is going to the bottom.
- 25:41What's happening is that somehow the helium is climbing up
- 25:45and over the walls, literally emptying itself out.
- 25:50This was not distillation.
- 25:52Something far stranger was happening.
- 25:57Onnes's successors grew suspicious
- 25:59of the specific heat data, so they remeasured
- 26:02and they became convinced it wasn't an error.
- 26:06This was real. Something was happening at 2.17 Kelvin.
- 26:10Since the curve resembled the Greek letter Lambda,
- 26:13they called this the Lambda point
- 26:15and they suggested that a phase transition must be happening
- 26:18here, but not an ordinary phase transition.
- 26:22This would be a phase transition to a more exotic kind
- 26:25of matter, from a normal liquid to something else.
- 26:29But what?
- 26:30Figuring out what's really happening when there are so many different clues can be confusing.
- 26:36If not, outright impossible. The same is still true today.
- 26:40Recently, I came across this story where scientists used AI
- 26:44to design viruses not found in nature,
- 26:46but depending on where you read the story,
- 26:48you might have a completely different reaction.
- 26:50If you read IFLS first,
- 26:53you might think this is an exciting scientific breakthrough,
- 26:55AI designing a virus that can kill bacteria.
- 26:59If you'd seen this first, you'd get a more complete,
- 27:02albeit complex picture, 16 viruses from scratch,
- 27:05but with possible downsides.
- 27:07And if you saw this New York Post article first,
- 27:10you'd most likely focus on what could go wrong.
- 27:13So three headlines,
- 27:14but three completely different conclusions.
- 27:16Most people just get their news from one source,
- 27:19and as a result, their takeaway is a little bit like the
- 27:22luck of the draw, which outlet did you happen to see first?
- 27:25That's why we use today's sponsor, Ground News.
- 27:28They're a website, an app that brings a data-driven
- 27:30and objective approach to reading the news.
- 27:32They pull thousands of stories daily,
- 27:35and for each, they break down the political leaning,
- 27:37how factual the reporting is, and who owns the reporting.
- 27:40For example, with the AI virus story,
- 27:42it immediately tells you
- 27:43that over 200 news outlets reported on it
- 27:46and that it got covered fairly evenly
- 27:48across the political spectrum.
- 27:50Below that, you can also see the factuality, ownership,
- 27:53and even who broke the news first, Forbes in this case.
- 27:56The bias comparison feature highlights specific differences
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- 28:01but my favorite feature might be their blind spot feed.
- 28:03It shows you stories that are under-reported by one side
- 28:06of the political spectrum or the other.
- 28:08Trying to figure all these differences out by yourself
- 28:11for every story would be a full-time job.
- 28:13That's what makes Ground News so valuable.
- 28:15Their data-driven approach helps make these stories
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- 28:29I'd like to thank Ground News for sponsoring this part
- 28:31of the video, and now back to
- 28:33what was happening when you keep cooling down helium.
- 28:36The answer started to take shape throughout the 1930s.
- 28:39- So in 1945,
- 28:41there was this graduate student called Don Misener,
- 28:45and he needed to do some experiments
- 28:47for his coursework to get enough credit.
- 28:50And he was aware of everything that was happening in helium,
- 28:53but he realized that no one had measured its viscosity.
- 28:56So he's like, "Oh, that's
- 28:57weird. I will measure it." - So how do you measure the viscosity?
- 29:02- There are two ways. You have a disc
- 29:08and you try to see what the resistance of the liquid is.
- 29:13Another way is to have a small
- 29:18capillary, and then you push the liquid through that,
- 29:23and the viscosity you measure
- 29:27between the two methods should be exactly the same.
- 29:32- Misener chose a variation of the first method.
- 29:36He submerged a cylinder that was connected
- 29:38through a torsion fiber in liquid helium.
- 29:41He then rotated the cylinder
- 29:42and let go, causing the cylinder to swing back
- 29:45and forth to oscillate.
- 29:47Now, by watching how long it oscillated,
- 29:49he could determine the viscosity.
- 29:50The longer it oscillated, the less friction it must
- 29:53experience, so the lower the viscosity.
- 29:55And what he found was that at 4.2 Kelvin,
- 29:58the viscosity was about 14%.
- 30:00That of air, already tiny.
- 30:02Then, as he decreased the temperature,
- 30:04the viscosity slowly increased
- 30:07until at the transition point, it suddenly plummeted, not
- 30:10to zero, but to about 5% that of air.
- 30:14This caught the attention of Jack Allen, a
- 30:1627-year-old physicist who'd just come to Cambridge.
- 30:19Allen had inherited a helium liquefier from someone
- 30:22who could no longer use it,
- 30:23and now he resolved to use it
- 30:25to unravel the mysteries of helium.
- 30:27Of course, he could use some help,
- 30:29and Misener seemed like the perfect PhD student,
- 30:32so Allen convinced him,
- 30:33and together, they continued studying helium's viscosity.
- 30:37Only now they turn to the second method of studying it,
- 30:40which works something like this.
- 30:42I've got a tube filled with two layers of glycerol.
- 30:45Now, if I let it flow, what's going to happen?
- 30:47Well, you'd expect the layers to drop, which they do,
- 30:51but not in a straightforward way.
- 30:53It doesn't maintain its shape.
- 30:54Instead, it stretches out in the middle.
- 30:57What's happening is that if you zoom in, you'd find
- 30:59that the molecules near the wall get stuck,
- 31:02they experience friction,
- 31:03and then the molecules sliding past them experience
- 31:05friction with those molecules.
- 31:07The internal friction is basically what viscosity is.
- 31:11In general, if you make the channel smaller,
- 31:13the flow rate should decrease,
- 31:15and if you push on the liquid, it should increase.
- 31:18Now, by carefully keeping track of
- 31:19how things change when you alter these parameters,
- 31:22you can determine the viscosity.
- 31:24In November of 1937, Allen
- 31:26and Misener did a version of this experiment
- 31:28with liquid helium at around one kelvin.
- 31:30They let it flow through one wide capillary
- 31:33and one narrow one, and they found that the flow speed
- 31:36through both was almost the same,
- 31:38despite the narrow one having a surface area a
- 31:40thousand times as small.
- 31:42Even weirder was
- 31:43that the speed hardly changed when the pressure increased.
- 31:47They concluded that any known formula cannot, from our data,
- 31:50give a value of the viscosity,
- 31:51which would have much meaning.
- 31:53As far as they could tell, the viscosity was non-existent.
- 31:57- They know they've got gold on their hands here, right?
- 32:00They know this is a, like a bombshell of a result.
- 32:04- So they spent the next three weeks making sure they hadn't
- 32:07made any mistakes.
- 32:09They repeated all the experiments
- 32:10and did all the other measurements they
- 32:12needed, ready to write it up.
- 32:14- But then on the last day, one
- 32:16of Kapitsa's old students walks in
- 32:19with a letter from Kapitsa.
- 32:20- "Who's Kapitsa? Well, remember that Allen had inherited
- 32:24that liquefier from someone who couldn't use it anymore?
- 32:27Well, that was Soviet physicist Pyotr Kapitsa.
- 32:31He built the liquefier and ran the lab before Allen.
- 32:35But then during a trip back home in the summer of 1934,
- 32:38Stalin had his passport confiscated.
- 32:42He was to work and stay in the Soviet Union, where
- 32:44for the past few years, Kapitsa had been rebuilding his lab,
- 32:48telling almost no one exactly what he was working on.
- 32:51But Allen and Misener were about to find out.
- 32:54- He had done the same sort of experiment,
- 32:59found the viscosity was vanishingly small,
- 33:02and send a note to the editor of Nature
- 33:05that he would be very grateful if they could publish it
- 33:08as soon as possible.
- 33:10Don't bother to send the proofs to me here to Moscow.
- 33:13It takes too much time. He had just scooped his old lab.
- 33:17- He knew what he had and he raced to publish.
- 33:20Allen and Misener were freaking out,
- 33:23but over the next four days, they wrote up all their results
- 33:26and also sent it to Nature.
- 33:29On the 8th of January, 1938, the two papers appeared side
- 33:32by side, reporting the vanishingly small viscosity,
- 33:37perhaps even zero.
- 33:39And then in analogy to superconductors,
- 33:41Kapitsa called it a superfluid.
- 33:45This was the breakthrough everyone had been waiting for
- 33:48because it finally began to explain some
- 33:50of the strange things they'd been seeing.
- 33:53Above 2.17 Kelvin, helium is just a normal fluid
- 33:56and it has internal friction
- 33:58or viscosity, so when it flows through tiny cracks, part
- 34:01of it gets stuck to the walls.
- 34:04Now, in the case of the bucket, the bottom is made
- 34:06of a polymer aerogel, which is filled
- 34:08with microscopic channels up to tens of nanometers across.
- 34:12That's so small
- 34:13that the helium gets fully clamped to the walls.
- 34:16It can't flow through.
- 34:18But as you cool down below 2.17 Kelvin,
- 34:21the helium transforms,
- 34:24and now it can suddenly pass through tiny cracks
- 34:26with no friction, so it leaks straight through the bottom.
- 34:33It also explained what was happening with the little cup.
- 34:36How? Well, remember those van der Waals forces
- 34:39that cause every atom to attract every other?
- 34:42Well, between helium atoms, they're very weak,
- 34:45but the atoms in the walls
- 34:46of the cup have many more electrons in their outer shell,
- 34:49so the charge imbalances become larger.
- 34:52And as a result, the helium atoms are much more strongly
- 34:55drawn to the wall than to each other.
- 34:57So they climb up the wall
- 34:59and within seconds wet the entire surface with a layer
- 35:02that's around 30 nanometers thick.
- 35:05And because the bottom of this thin sheet is
- 35:08below the liquid layer, it now acts as a siphon.
- 35:12Normal fluid can't flow through
- 35:14because it experiences friction,
- 35:16but superfluid can, so it flows up
- 35:20and over the walls until it drips out the bottom.
- 35:31But for all the idea of a superfluid explained,
- 35:34it also raised a much more fundamental question.
- 35:37How do you get a superfluid?
- 35:38- Like if it is actually zero, I want you to think about
- 35:42how crazy that is, right?
- 35:43Because if we think back to, okay, what is this viscosity?
- 35:47It's internal friction between the molecules.
- 35:49So if you have actually zero viscosity, it means
- 35:53that you have like a billion,
- 35:55billion particles all traveling through this pipe
- 35:58and not a single one is bouncing off of anything
- 36:01and losing some energy or bouncing into
- 36:04each other and losing energy.
- 36:06They all must flow perfectly
- 36:09and somehow not lose a single bit of energy.
- 36:12It seems preposterous.
- 36:15- Within two months of the nature papers,
- 36:17Fritz London proposed a possible mechanism.
- 36:20There was this forgotten paper from 13 years earlier.
- 36:23It predicted that if you just kept cooling down a certain
- 36:25type of particle, then the atoms would fall
- 36:27into an exotic state.
- 36:29And the author of that forgotten paper was none other
- 36:32than Albert Einstein.
- 36:34To understand what Einstein had predicted,
- 36:36consider this plane of particles.
- 36:38They're not interacting
- 36:39and they're free to move around in every direction
- 36:42with different velocities and different kinetic energies.
- 36:44Now at room temperature, you can just think of them
- 36:47as point particles,
- 36:49but if you start cooling them down,
- 36:51what Einstein realized is that, well,
- 36:53this is no longer the case
- 36:55because now quantum theory starts to play a role.
- 36:57And according to that theory, particles aren't just
- 36:59particles, they also have a wave-like character.
- 37:02- So-called wave particle duality, the quantum
- 37:05wave function tells you the likelihood of
- 37:08where it would be found if you were
- 37:09to try to measure its location.
- 37:11- The important thing here is that the wavelength
- 37:13of these waves or how spread out they are is equal
- 37:16to Planck's constant over their momentum
- 37:18or mass times velocity.
- 37:20- So if you're cooling these particles down,
- 37:22they on average have less
- 37:23and less momentum per particle, their quantum wavelength
- 37:27or the de Broglie wavelength gets longer.
- 37:30And so eventually the sort of quantum state associated
- 37:33with each of those seemingly independent particles starts
- 37:36to smoosh out and overlap.
- 37:38This distinguishability in space starts to melt away.
- 37:42- What happens next depends on which kind
- 37:45of particle you're cooling down.
- 37:47Every particle in the universe is one of two kinds.
- 37:50It's either a boson or a fermion.
- 37:53Fermions are most of the particles you're familiar with,
- 37:55like protons, neutrons and electrons,
- 37:57and bosons are particles like photons.
- 38:00You can see the difference between bosons
- 38:02and fermions by looking at two indistinguishable particles.
- 38:06Now, one particle just has its own wave function,
- 38:10but if you take two of them together,
- 38:12something special happens.
- 38:13They get a combined wave function
- 38:15that describes both of them together.
- 38:18In the case of bosons, if you could see that wave function,
- 38:21you'd see it's the same on both sides,
- 38:24that is it's symmetric.
- 38:26But if those particles are fermions,
- 38:28then their combined wave function is the
- 38:30opposite on both sides.
- 38:32It's anti-symmetric.
- 38:35Now I want you to think about what this means if you try
- 38:37to move those particles together.
- 38:39In the case of the bosons, the two sides
- 38:41of the wave function add up
- 38:43and you just get two bosons in the same place or state.
- 38:46But now try doing the same for fermions.
- 38:49You get one peak to overlap with one valley
- 38:52and they'd cancel out.
- 38:54But that would suggest that all
- 38:55of a sudden there's a 0% probability
- 38:57of finding the particles anywhere,
- 38:59which doesn't make any sense.
- 39:00They have to be somewhere. So
- 39:02what this is really telling us is
- 39:04that two indistinguishable fermions can never occupy
- 39:07the same quantum state.
- 39:09This is known as Pauli's exclusion principle,
- 39:12and it's why particles like electrons can never be in
- 39:14exactly the same state.
- 39:16If the particles you're cooling down are fermions,
- 39:18then they start filling up the energy states like a ladder
- 39:21from lowest to the higher states,
- 39:24with only one fermion per quantum state.
- 39:27But bosons don't have this restriction.
- 39:29They're very happy to share the same quantum state.
- 39:32When you keep cooling them down, more
- 39:34and more of them start to occupy lower
- 39:36and lower energy levels.
- 39:39And Einstein realized there comes a point
- 39:41where a macroscopic portion suddenly condenses into the
- 39:45lowest energy state
- 39:46or ground state, which in this case is just when
- 39:49they're completely still.
- 39:51- These little particles could actually act in a way
- 39:55where they would sort of lose, so to speak, their,
- 39:57their individuality, that they could act
- 40:00as a single coherent state of matter, a whole new state
- 40:04of matter that had no analog.
- 40:07- This became known as a bose Einstein condensate
- 40:10after Bose whose work Einstein was building on.
- 40:13But Einstein doubted this could happen in real life.
- 40:16He wrote, "The theory is pretty,
- 40:18but is there also some truth to it?" 13 years later,
- 40:23London believed there might be
- 40:24and that perhaps superfluid helium was a
- 40:27bose Einstein condensate.
- 40:29At first, that might seem impossible
- 40:31because helium is made up of protons, neutrons,
- 40:33and electrons, and every one of those is a fermion.
- 40:36So you'd expect helium to be a fermion too.
- 40:39And remember, fermions can't share the same state,
- 40:42but helium is not a fermion.
- 40:46bosons and fermions differ in one other fundamental way,
- 40:49their intrinsic angular momentum or spin.
- 40:52For bosons, this is always an integer number, zero, one,
- 40:56two, three, and so on.
- 40:57But fermions always have a half integer spin, like a half.
- 41:01So what happens if you have multiple fermions
- 41:04together, say in one atom?
- 41:06Well, now you have to add their spins together
- 41:08to get an overall spin for the atom,
- 41:10and then use that to see whether it's a boson or a fermion.
- 41:14In the case of helium, which has six half spin particles,
- 41:18then no matter how you add them up,
- 41:20you always end up with an integer number.
- 41:22As a result, helium atoms behave as bosons.
- 41:27And as you cool them down below 2.17 Kelvin,
- 41:30a macroscopic fraction
- 41:31of the atoms condense into the lowest energy state.
- 41:34They lose their individuality
- 41:37and about a trillion trillion atoms all behave as one.
- 41:42Normally, you think of wave functions
- 41:44as these teeny tiny things,
- 41:45but here it's literally the size of the container.
- 41:49It's as if after the transition, the helium has turned into
- 41:53one big atom with all these atoms behaving as one.
- 42:00- This is quantum mechanics with your own eyes.
- 42:04- And it makes you look at matter in a different way.
- 42:08It allows us to explore the boundary of quantum
- 42:11and regular matter.
- 42:14So it seems like we've solved it.
- 42:16The atoms are in the lowest energy state.
- 42:19They've lost their individuality
- 42:20and act as one, so they can't scatter
- 42:22and they flow with zero internal friction.
- 42:28That's how I first understood superfluids
- 42:30and how I'd explain it to anyone who wanted to know.
- 42:33I mean, it made sense and we were all happy.
- 42:36The only problem is that it's wrong.
- 42:38I mean, the first issue is that in a BEC,
- 42:41all the atoms occupy the state
- 42:43where the particles are at rest,
- 42:45but in a superfluid, well, they flow.
- 42:48Maybe that issue could be excused
- 42:50because you could imagine moving along with the superfluid
- 42:53and finding a frame in which it effectively stands still,
- 42:56but there's an even bigger problem, which is
- 42:58that in a non-interacting Bows Einstein condensate,
- 43:02even the tiniest push can excite any of the atoms.
- 43:05So if you'd try to let it flow,
- 43:07the smallest disturbance would knock
- 43:09atoms out of the ground state.
- 43:10They would scatter and the flow would lose energy.
- 43:14So clearly a BEC alone isn't enough.
- 43:17You need something else, but what?
- 43:20Fortunately, Kapitsa knew
- 43:22exactly who could solve the problem.
- 43:24Unfortunately, he had been locked
- 43:26inside Stalin's prison for the last year.
- 43:28- This was right around the time of Stalin's great terror
- 43:32where he was executing
- 43:34or imprisoning all the enemies of state,
- 43:37whether they were real or imaginary.
- 43:39- But in the case of Lev Landau,
- 43:41the physicist Kapitsa was thinking about,
- 43:44it seems like there was some truth to it.
- 43:46Landau was known as a genius theorist
- 43:49who cared deeply about elevating Soviet physics.
- 43:52He was the head of the physics department
- 43:53and personally trained some
- 43:54of the best physicists of the century.
- 43:57But around the mid 1930s,
- 43:59he became disillusioned with Stalin's regime.
- 44:02He reportedly told one colleague that Soviet officials were
- 44:05"born subhuman." And according to KGB Files, he was accused
- 44:09of heading a counter-revolutionary organization.
- 44:13Landau was arrested on the 28th of April 1938
- 44:16and taken to the Lubyanka Prison.
- 44:20The first day he was forced to stand for seven hours,
- 44:23followed by six days of 12-hour persuasion sessions.
- 44:27After two months, Landau broke
- 44:29and wrote a six-page confession.
- 44:31It reads, "We came to the conclusion
- 44:33that the party had degenerated
- 44:34and that the Soviet government no longer acted in the
- 44:37interests of workers, but in the interests
- 44:39of a small ruling group.
- 44:41The interests of the country demanded the overthrow
- 44:43of the existing government."
- 44:45- That's a pretty, pretty strong confession.
- 44:48- This confession at a time where people were being executed
- 44:52for no reason should have meant the end for Landau.
- 44:56But fortunately for him, he had someone defending him.
- 44:59The morning Landau got arrested,
- 45:00Kapitsa immediately wrote to Stalin.
- 45:03His character, to put it simply, is nasty.
- 45:05He is a bully and a brawler,
- 45:07but I find it very hard to believe that Landau was capable
- 45:10of anything dishonest.
- 45:11Landau is young and he still has much
- 45:14to accomplish in science.
- 45:16No one else can write about all of this,
- 45:17which is why I'm writing to you.
- 45:20Now, Stalin never replied.
- 45:22So a year later, Kapitsa wrote to one
- 45:24of Stalin's closest allies.
- 45:26He told him how he had discovered superfluidity
- 45:29and that no theorist other than Landau could explain it.
- 45:33Three weeks later, Kapitsa was summoned to the prison.
- 45:36As he recalled, "I was summoned at 1:00 AM.
- 45:38They escorted me to a big office occupied by two men.
- 45:42Do you understand for whom you are pleading?
- 45:44He's a most dangerous criminal, a spy who confessed
- 45:47to everything." We talked till four in the morning.
- 45:50Towards the end, one of them said, "All right, Kapitsa,
- 45:53if you pledge your word for Landau,
- 45:54then give us a written guarantee.
- 45:56If anything happens, you will be held responsible."
- 46:00Kapitsa wrote the letter
- 46:02and two days later, Landau turned up at the institute, ready
- 46:05to get back to what he loved doing most, physics.
- 46:11Kapitsa had put his neck on the line.
- 46:13Now it was up to Landau to prove he was up to the task,
- 46:16and superfluid helium had only gotten more interesting.
- 46:20Back in January 1938, just days
- 46:23after the nature papers, allen was studying
- 46:25how superfluid helium conducts heat.
- 46:27To do this, he packed some Emery powder,
- 46:30basically fine sand, in a glass bulb with an open bottom.
- 46:33To see what was happening, he shone his pocket torch at it.
- 46:37And according to him, as the Emery powder tube came into
- 46:40view, helium spurted out the top of the tube.
- 46:44It continued to spurt as long
- 46:45as the light shone on the powder
- 46:47and ceased when a card cut off the light.
- 46:50Allen later showed this fountain with no moving parts
- 46:53to the Royal Society, during which famous writer H.G.
- 46:56Wells crawled under the table looking
- 46:58for a hidden pump, but found nothing.
- 47:01- Yeah, so we had this kind of specialist made.
- 47:04It's a single piece of glass.
- 47:05There are no seams in it whatsoever.
- 47:07The filtered disc is fused in,
- 47:09and then it's just filled with carbon stones,
- 47:11and we just hit it with a bright light
- 47:13that heats it up, drives the fountain flow.
- 47:15- Amazing. Fingers crossed. You guys ready?
- 47:20Three, two, one. Torch it.
- 47:24Woah! Yeah.
- 47:31Let's go. What?
- 47:36That's absurd.
- 47:37- That's awesome. Woo. Let's go.
- 47:43- So what was happening?
- 47:47How could light cause the helium to shoot out?
- 47:51- Any theory now had to take
- 47:55into consideration all these phenomena.
- 47:59So for theoreticians was a really heavy task.
- 48:03- Landau spent the next eight years working on it.
- 48:07He started by considering a superfluid flowing at absolute
- 48:10zero, and he realized what London had left out,
- 48:13the forces between atoms.
- 48:16In a Bose Einstein condensate, there are no forces
- 48:18between particles, and as a result,
- 48:20a push can knock a single atom out
- 48:22of the lowest energy state, resulting in easy friction.
- 48:26But in liquid helium, this is not the case.
- 48:28The atoms interact, so if you push on one,
- 48:31you're pushing on a bunch of them.
- 48:33Landau realized that this rigidity meant
- 48:35that the only way you can create excitations in a superfluid
- 48:38and lose energy in the flow is
- 48:40through the collective motion of the atoms.
- 48:43He argued that these excitations come in two main flavors.
- 48:47The first is that if you push hard enough, you get the atoms
- 48:50to bump into each other
- 48:51and create ripples throughout the fluid,
- 48:53basically sound waves, just a quantized version
- 48:56of them called phonons.
- 48:58Similar to how photons are particles of light,
- 49:00these are particles of sound.
- 49:03The second kind of excitation is something known as a roton,
- 49:06because originally people thought of them as tiny whirls,
- 49:10but now they're seeing more like a patch of atoms
- 49:13that suddenly orders themselves into a crystal lattice just
- 49:15for a split second.
- 49:17You can think of them almost as tiny ghosts of a solid.
- 49:20And just like a phonon creating a roton costs both
- 49:23energy and momentum.
- 49:25So Landau argued that these phonons
- 49:27and rotons were the only way
- 49:29that the flow could lose energy.
- 49:31- And you're like, okay, well, it's quite easy,
- 49:34you know, to make a sound wave.
- 49:36Like all I have to do is knock on it, right?
- 49:38That in terms of like how much energy it takes
- 49:41to create a phonon, it can be very little energy.
- 49:44It can be as little energy as you want,
- 49:46but you don't just have to conserve energy.
- 49:48You also have to conserve momentum.
- 49:50So when you push on it
- 49:52or when the liquid bumps into something, it both needs
- 49:55to satisfy conservation of energy
- 49:57and conservation of momentum.
- 49:59And there is a very nice relationship that tells you exactly
- 50:04how the momentum of a phonon corresponds to the energy
- 50:06of a phonon, and it's connected with the speed
- 50:10of sound in a material.
- 50:12And so the only way you can satisfy both constraints is if
- 50:15the flow is going at least the speed of sound,
- 50:19which in helium two is very fast.
- 50:21It's about, I think, 220 or 240 meters per second.
- 50:25Rotons, he realizes, can get created a little bit easier.
- 50:29I think the modern value is about 60
- 50:31meters per second, but it's still a lot.
- 50:33- So in Landau's theory, below about 60 meters per second,
- 50:36the flow can't create a single phonon or roton.
- 50:40The atoms all stay in the ground state
- 50:42and no energy is lost.
- 50:43So it's not that the friction is vanishingly
- 50:45small in a superfluid.
- 50:47Landau proved that it's strictly zero.
- 50:50Friction is forbidden.
- 50:52In practice, other excitations are created at lower speeds
- 50:55and therefore the actual flow rate at which superfluidity
- 50:58breaks down is lower.
- 51:00But if the friction is actually zero,
- 51:02that implies something else.
- 51:04You should be able to get a superfluid flowing in a loop,
- 51:07and once it's going, it should just keep going like a
- 51:10perpetual motion machine.
- 51:12In 1964, two physicists at Yale tested this.
- 51:15They got superfluid helium circling in a stack
- 51:18of thin rings and waited.
- 51:20And what they found was
- 51:21that no matter whether they waited five minutes
- 51:24or more than 12 hours, the flow was just as strong.
- 51:28- But then, you know, if the friction is zero,
- 51:32how is it possible that Misener, you know,
- 51:34when he did his like torsion
- 51:35experiment, he didn't measure zero.
- 51:37- The liquid wasn't just passing over liquid,
- 51:40like you had like a cylinder of something in there?
- 51:42- Yep. - Yep. I don't know. Is it coming from the wire?
- 51:45Is it coming from the cylinder?
- 51:47Like the different materials? What is it coming from?
- 51:49- Your instinct is
- 51:51that Misener must have done something wrong.
- 51:54He didn't. Both experiments are true. How can both be true?
- 51:58- You're measuring different things.
- 52:00I don't know, but how are you measuring different things?
- 52:04This is where the second part of Landau's work comes in.
- 52:06So far, Landau had only looked at a fluid at absolute zero,
- 52:10but every real experiment happened at higher temperatures.
- 52:14So next he considered what if it flows at
- 52:16some finite temperature?
- 52:18To do this, he built on the work of Tisza, who suggested
- 52:22that helium below 2.17 Kelvin acts
- 52:24as a mixture of two fluids.
- 52:26One is the superfluid. It's effectively at absolute zero.
- 52:30It carries no heat and flows without friction.
- 52:33You can think of this as the background fluid.
- 52:36And the second is the normal fluid, which is made up
- 52:38of the phonons and rotons.
- 52:40It carries all the heat and has viscosity.
- 52:43At absolute zero, the whole fluid is superfluid,
- 52:46but as it heats up, part
- 52:48of the superfluid turns into normal fluid.
- 52:50The superfluid fraction decreases
- 52:52and the normal fraction increases until at 2.17 Kelvin,
- 52:56the superfluid component is zero.
- 52:59- Now, if you were to look at one atom in the fluid
- 53:02and say, "Is that superfluid
- 53:03or normal fluid?" Well, it's hard to tell
- 53:06because the superfluid atoms are constantly exchanging
- 53:09energy with the normal fluid atoms.
- 53:11- Sure. - So any one atom is constantly bouncing up
- 53:13and down between these two modes.
- 53:15- Now, only the superfluid can flow through tiny channels.
- 53:19So when Allen and Misener pushed helium
- 53:21through their capillaries, they only measured the super
- 53:23fluid part and they found a zero viscosity.
- 53:26But Misener's torsion experiment sat in a
- 53:29mixture of both fluids.
- 53:30So the cylinder felt the viscosity from the normal fluid.
- 53:34Misener hadn't made a mistake,
- 53:36they were just measuring different things.
- 53:39And once you know what you're looking for,
- 53:40you can also physically see the effect.
- 53:43Just below the transition temperature, say at 2.15 Kelvin,
- 53:46only around 13% of the helium is superfluid.
- 53:49So only that 13% can leak
- 53:52through the bottom and you get a drip.
- 53:54But if you cool it down to 1.5 Kelvin, well now
- 53:57around 89% is superfluid.
- 53:59That's almost seven times as much helium that can flow
- 54:02through, so it just pours out the bottom.
- 54:06It even explains how light can power a fountain.
- 54:10When the light hits the rocks, the rocks absorb some
- 54:12of the photons and heat up a little
- 54:14- Bit.
- 54:15- This causes part of the superfluid
- 54:16to turn into normal fluid,
- 54:19but now the superfluid density is lower
- 54:21inside the fountain, so more superfluid immediately rushes
- 54:24in through the bottom to restore the proportions.
- 54:27That bottom, however, is just like the bottom of the bucket.
- 54:30It only allows superfluid through.
- 54:32So the normal fluid can't go out that way.
- 54:35The only way the excess helium can go is up and out.
- 54:39And so you end up with this,
- 54:41a fountain powered solely by light.
- 54:43The heat from the light gets turned into the mechanical
- 54:46energy of the spouting helium.
- 54:49But the two fluids do more than make fountains.
- 54:52They change how helium transfers heat.
- 54:55Take a bath of liquid helium below the lambda point
- 54:57with a heater on one side.
- 54:59- The helium atoms that are in contact with that hot face -
- 55:03- Yeah. - Are going to gain energy. They're
- 55:04going to jump up this ladder.
- 55:05- Yeah. - So they're going to be part of the normal fluid.
- 55:07- Right. - So my normal fluid is going
- 55:12to flow away from the heater, carrying all of the heat
- 55:15and the entropy that's imparted into the fluid away.
- 55:17- Yeah. - But as the normal fluid flows away - Yeah.
- 55:21The superfluid flows back to replace it. Right.
- 55:24And the overall density of the fluid remains constant.
- 55:28- Sure. - So this is a two-fluid
- 55:31thermomechanical counterflow.
- 55:32They basically flow through each other
- 55:34like they weren't even there.
- 55:35- But you can take this one step further.
- 55:38Imagine changing the temperature
- 55:39of the heat source periodically.
- 55:41What is going to happen?
- 55:43Well, the amount of normal fluid created will
- 55:45also change periodically.
- 55:47So you get these fluctuations in the normal fluid
- 55:49and superfluid densities.
- 55:51They spread out and travel away,
- 55:54almost like a sort of sound.
- 55:56- When we think of first sound, regular sound - Yeah.
- 55:59That's density waves in the air driven
- 56:02by tiny pressure gradients.
- 56:04- But with a superfluid, you can get density waves in the
- 56:07normal and superfluid components.
- 56:09And since the normal fluid carries all the heat,
- 56:11that means you get temperature waves.
- 56:13- And they can spread out like sound waves.
- 56:16- Yeah. - So we call temperature waves
- 56:17in helium second sound.
- 56:19- The crazy thing about it is it's a completely new mode
- 56:23of heat transport, unlike anything else in the uni - right?
- 56:27Yeah. When I heard that, I was like,
- 56:29"That's crazy." So you always think of conduction,
- 56:32convection, and radiation.
- 56:34And now helium gets a fourth.
- 56:37- This is a combination of second sound
- 56:40and thermal counterflow, and it is effective,
- 56:43around a thousand times more conductive than copper,
- 56:45which is one of the best thermal conductors we know of.
- 56:48It finally helps explain one last thing you've been seeing
- 56:51this whole time, that is why does the boiling suddenly stop?
- 56:56Well, above 2.17 Kelvin,
- 56:58helium boils just like a normal liquid.
- 57:01- Say, for example, I've got a bucket of water
- 57:05and I take a red hot poker and I dump it in.
- 57:08The bubbles aren't going to form anywhere in the bucket.
- 57:10They're going to form around that poker
- 57:12because you've got this high temperature region
- 57:15where you've dumped in enough energy locally
- 57:19to vaporize the water
- 57:20and then that's where the bubbles are going to form.
- 57:22The amount of energy it takes
- 57:24to do this is the latent heat of vaporization.
- 57:26In water, that is about
- 57:292,200 joules per gram.
- 57:33In helium, it's about 23 joules per gram.
- 57:37So if you've got helium in its liquid state,
- 57:42a tiny thermal fluctuation is enough
- 57:45to locally vaporize a small pocket,
- 57:48which then forms a bubble.
- 57:49And that's why boiling is so constant,
- 57:52because tiny thermal fluctuations will form
- 57:54bubbles very, very easily.
- 57:56- But as you cool helium down below 2.17 kelvin,
- 58:00thermal counterflows take over.
- 58:02They transfer heat so effectively
- 58:04that the entire liquid almost immediately
- 58:06reaches the same temperature.
- 58:08So there are no hotspots
- 58:10and no places for bubbles to form,
- 58:12the boiling suddenly stops.
- 58:16This lack of boiling paired
- 58:17with its unparalleled heat transfer also makes superfluid
- 58:21helium the ideal coolant at one or two kelvin,
- 58:24and that's why CERN uses around 700,000 liters of it
- 58:27to cool the LHC's 9,000 superconducting magnets.
- 58:31- There is still one thing that bothers me though, Chris,
- 58:37which is that, you know, if you take any substance
- 58:40and you keep cooling it down, it always freezes.
- 58:44But helium never does, yet
- 58:47it does liquefy, which is the annoying part.
- 58:50So because it liquefies, it means
- 58:51that there is some attraction between the atoms.
- 58:54And so you'd expect, you know,
- 58:55I can just keep cooling it down more and more
- 58:57and more until eventually the kinetic energy becomes
- 59:01arbitrarily small
- 59:02and it must, like the attractive energy must be much larger
- 59:05and so it must form a solid.
- 59:07- Yes. So this is the kind of
- 59:11intuitive picture that you would expect.
- 59:13Well, you can't answer that in an intuitive way.
- 59:17You have to bring in quantum mechanics.
- 59:19- Because according to quantum mechanics,
- 59:21the more precisely you know a particle's position,
- 59:24the less you know about its momentum and vice versa.
- 59:27This is known as Heisenberg's uncertainty principle,
- 59:29and mathematically it tells you
- 59:31that the uncertainty in position delta x times the
- 59:33uncertainty in momentum delta p is greater than
- 59:36or equal to h-bar over two.
- 59:38For simplicity, let's just say it's around h-bar.
- 59:41- Let's say I've got an atom in a liquid
- 59:45and it has some freedom.
- 59:46It can move around,
- 59:48but you know, it's very closely packed in
- 59:50with all of its neighboring atoms.
- 59:51Let's say that it occupies some spherical volume
- 59:55with a radius r.
- 59:57Well, we can say that that r
- 59:59is the uncertainty in its position.
- 1:00:02So if the uncertainty in the momentum is going to look like
- 1:00:06h-bar, Planck's constant, over r.
- 1:00:10- But if it's got an uncertainty in momentum,
- 1:00:13it means it must be jiggling around inside that sphere.
- 1:00:16- We know if it's jiggling, we can say it's got an energy.
- 1:00:20Well, we know what it's momentum is.
- 1:00:21It's Planck's constant over, over r.
- 1:00:25So how do we get the energy? Well, it's easy.
- 1:00:27We say it's the momentum squared over twice the mass.
- 1:00:31Now, helium being such a light atom,
- 1:00:35that mass turn is very small.
- 1:00:38So that means that the energy that it has,
- 1:00:40because it's confined, is very, very large.
- 1:00:44Now, this is what we call the zero point energy.
- 1:00:47This is the energy it cannot get rid of.
- 1:00:49It's nothing to do with thermal energy.
- 1:00:51It's not because there's a temperature in the liquid.
- 1:00:53In fact, when you're in the liquid state,
- 1:00:56that zero point energy accounts for more than 98%
- 1:01:00of the total energy in the fluid.
- 1:01:02- Wait, what? - It is, it is enormous.
- 1:01:05- That is crazy. I had no clue.
- 1:01:07- This zero point energy is too large for the atoms ever
- 1:01:11to lock down in place.
- 1:01:13So helium never freezes just by cooling it down.
- 1:01:16- So when you're thinking of this kind of ladder of states,
- 1:01:20this kind of BEC picture, like, you know,
- 1:01:22everything's macroscopically occupying this bottom state,
- 1:01:25we think we, the, the intuition is to think of it
- 1:01:28as like ladder where each rung is nice and evenly spaced.
- 1:01:33But the way to think of it in terms
- 1:01:34of this zero point energy is that
- 1:01:35that first rung is 10 stories off the floor.
- 1:01:40And then the thermal states stack up on top of that.
- 1:01:42- Oh, that's so good. - But there is one way in which you
- 1:01:46can freeze helium, which was discovered by Onnes's successor.
- 1:01:50That is by cooling helium down to about one Kelvin
- 1:01:52and by increasing the pressure to 25 atmospheres.
- 1:01:56If you do that, helium finally freezes.
- 1:01:59As for Onnes, he died in 1926 at the age of 72.
- 1:02:04He had been making superfluid helium for 18 years,
- 1:02:07looking at it, seeing hint after hint,
- 1:02:10and yet he never realized
- 1:02:11what he'd been staring at the entire time.
- 1:02:14Now, you might look at this
- 1:02:15and think Onnes was a little stupid or ignorant to miss it
- 1:02:19and to not put the pieces together,
- 1:02:21but I don't think that's the case.
- 1:02:22Instead, I think it reveals a fundamental
- 1:02:25feature of being human.
- 1:02:26I think it goes to show a lot
- 1:02:28of people think you got to see it to believe it.
- 1:02:31And I think often you have to believe it in order to see it.
- 1:02:35It makes me think a lot about Kuhn's, the structure
- 1:02:39of scientific revolutions,
- 1:02:41because it focuses a lot on, you know, you have the
- 1:02:43existing science, you have the existing paradigms,
- 1:02:45you have the existing formulas
- 1:02:46that these things are supposed to follow.
- 1:02:49And how often would the
- 1:02:52data point going off the line just be some error,
- 1:02:54someone messed up, condensation, something happening?
- 1:02:58It's easy to write those things off.
- 1:03:00So I have a lot of sympathy
- 1:03:01and I don't think, "Oh, how could they miss it?" I kind
- 1:03:04of think like, "No, that's actually
- 1:03:05how we operate." Especially, I
- 1:03:08don't know if scientists are supposed
- 1:03:09to be a little bit more observant
- 1:03:11or a little bit more skeptical,
- 1:03:12but at the same time, you're up against
- 1:03:14so much chaos in the world that you do kind
- 1:03:18of sometimes just see, "Yeah, yeah, that fits that.
- 1:03:22Yeah, that fits the data." And they sort of ignore things
- 1:03:26that don't fit because you're looking
- 1:03:28for something. I don't know.
- 1:03:29- Yeah. But I think probably especially if you are a
- 1:03:33scientist, it's these unexpected things
- 1:03:36that can end up having the biggest breakthrough
- 1:03:38because those are the things that disconfirm
- 1:03:42your view of reality.
- 1:03:43- And the thing is, often all the signs
- 1:03:46for the breakthrough are there.
- 1:03:48It's just that we're not ready to see them.
- 1:03:50So it makes you wonder what signs are we missing right now?
- 1:03:54I used to think that the reason someone didn't make the
- 1:03:57breakthrough was because maybe they weren't smart enough
- 1:03:59or they didn't work hard enough or didn't get lucky enough.
- 1:04:02But now I feel like I've always missed something.
- 1:04:05Just look at Onnes. He had all of those things.
- 1:04:07He was an experimental genius, had an immense work ethic
- 1:04:10and even discovered superconductivity, one
- 1:04:13of the biggest breakthroughs of the 20th century.
- 1:04:15He got three out of three.
- 1:04:17So perhaps sometimes making the breakthrough doesn't require
- 1:04:21any extra intelligence, hard work or even luck.
- 1:04:24Maybe all it takes is for us to let go
- 1:04:27of the way we believe the world to be
- 1:04:29and instead, just for a moment, try
- 1:04:31to see it as it really is.
- 1:04:34What if that is all it takes?
- 1:04:36And Onnes, well, he may have missed superfluidity,
- 1:04:39but he changed cold temperature physics forever.
- 1:04:42And in 1913, he received the Nobel Prize in physics
- 1:04:45for his achievements at finding out
- 1:04:47what happens when you just keep cooling down.
- 1:04:54Hey, two quick final things.
- 1:04:56First, this video would not have been possible without the
- 1:04:58help of Professor Weinfurtner's Gravity Laboratory at
- 1:05:00Nottingham University and the funding
- 1:05:02provided to them to run their superfluid experiments.
- 1:05:05So I want to give a big thank you to all of them
- 1:05:07for helping us recreate these experiments.
- 1:05:10The second thing is that we didn't even get
- 1:05:13to show you their research
- 1:05:14because while it might seem like we've solved all the
- 1:05:17mysteries of superfluids,
- 1:05:18it turns out we're just getting started
- 1:05:20because really weird things happen when
- 1:05:23you start rotating them.
- 1:05:24And this rotation
- 1:05:25or the physics of it can play a role in everything from
- 1:05:28neutron stars to simulating rotating black holes
- 1:05:31to a black hole bomb.
- 1:05:34And because if you look closely enough, you can kind
- 1:05:36of see the entire universe in a drop of superfluid.
- 1:05:40So let us know if you want us to make a part two on that.
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