Science, culture, complexity

Tag: Sisyphus cooling

  • When cooling down really means slowing down

    Consider this post the latest in a loosely defined series about atomic cooling techniques that I’ve been writing since June 2018.

    Atoms can’t run a temperature, but things made up of atoms, like a chair or table, can become hotter or colder. This is because what we observe as the temperature of macroscopic objects is at the smallest level the kinetic energy of the atoms it is made up of. If you were to cool such an object, you’d have to reduce the average kinetic energy of its atoms. Indeed, if you had to cool a small group of atoms trapped in a container as well, you’d simply have to make sure they – all told – slow down.

    Over the years, physicists have figured out more and more ingenious ways to cool atoms and molecules this way to ultra-cold temperatures. Such states are of immense practical importance because at very low energy, these particles (an umbrella term) start displaying quantum mechanical effects, which are too subtle to show up at higher temperatures. And different quantum mechanical effects are useful to create exotic things like superconductors, topological insulators and superfluids.

    One of the oldest modern cooling techniques is laser-cooling. Here, a laser beam of a certain frequency is fired at an atom moving towards the beam. Electrons in the atom absorb photons in the beam, acquire energy and jump to a higher energy level. A short amount of time later, the electrons lose the energy by emitting a photon and jump back to the lower energy level. But since the photons are absorbed in only one direction but are emitted in arbitrarily different directions, the atom constantly loses momentum in one direction but gains momentum in a variety of directions (by Newton’s third law). The latter largely cancel themselves out, leaving the atom with considerably lower kinetic energy, and therefore cooler than before.

    In collisional cooling, an atom is made to lose momentum by colliding not with a laser beam but with other atoms, which are maintained at a very low temperature. This technique works better if the ratio of elastic to inelastic collisions is much greater than 50. In elastic collisions, the total kinetic energy of the system is conserved; in inelastic collisions, the total energy is conserved but not the kinetic energy alone. In effect, collisional cooling works better if almost all collisions – if not all of them – conserve kinetic energy. Since the other atoms are maintained at a low temperature, they have little kinetic energy to begin with. So collisional cooling works by bouncing warmer atoms off of colder ones such that the colder ones take away some of the warmer atoms’ kinetic energy, thus cooling them.

    In a new study, a team of scientists from MIT, Harvard University and the University of Waterloo reported that they were able to cool a pool of NaLi diatoms (molecules with only two atoms) this way to a temperature of 220 nK. That’s 220-billionths of a kelvin, about 12-million-times colder than deep space. They achieved this feat by colliding the warmer NaLi diatoms with five-times as many colder Na (sodium) atoms through two cycles of cooling.

    Their paper, published online on April 8 (preprint here), indicates that their feat is notable for three reasons.

    First, it’s easier to cool particles (atoms, ions, etc.) in which as many electrons as possible are paired to each other. A particle in which all electrons are paired is called a singlet; ones that have one unpaired electron each are called doublets; those with two unpaired electrons – like NaLi diatoms – are called triplets. Doublets and triplets can also absorb and release more of their energy by modifying the spins of individual electrons, which messes with collisional cooling’s need to modify a particle’s kinetic energy alone. The researchers from MIT, Harvard and Waterloo overcame this barrier by applying a ‘bias’ magnetic field across their experiment’s apparatus, forcing all the particles’ spins to align along a common direction.

    Second: Usually, when Na and NaLi come in contact, they react and the NaLi molecule breaks down. However, the researchers found that in the so-called spin-polarised state, the Na and NaLi didn’t react with each other, preserving the latter’s integrity.

    Third, and perhaps most importantly, this is not the coldest temperature to which we have been able to cool quantum particles, but it still matters because collisional cooling offers unique advantages that makes it attractive for certain applications. Perhaps the most well-known of them is quantum computing. Simply speaking, physicists prefer ultra-cold molecules to atoms to use in quantum computers because physicists can control molecules more precisely than they can the behaviour of atoms. But molecules that have doublet or triplet states or are otherwise reactive can’t be cooled to a few billionths of a kelvin with laser-cooling or other techniques. The new study shows they can, however, be cooled to 220 nK using collisional cooling. The researchers predict that in future, they may be able to cool NaLi molecules even further with better equipment.

    Note that the researchers didn’t cool the NaLi atoms from room temperature to 220 nK but from 2 µK. Nonetheless, their achievement remains impressive because there are other well-established techniques to cool atoms and molecules from room temperature to a few micro-kelvin. The lower temperatures are harder to reach.

    One of the researchers involved in the current study, Wolfgang Ketterle, is celebrated for his contributions to understanding and engineering ultra-cold systems. He led an effort in 2003 to cool sodium atoms to 0.5 nK – a record. He, Eric Cornell and Carl Wieman won the Nobel Prize for physics two years before that: Cornell, Wieman and their team created the first Bose-Einstein condensate in 1995, and Ketterle created ‘better’ condensates that allowed for closer inspection of their unique properties. A Bose-Einstein condensate is a state of matter in which multiple particles called bosons are ultra-cooled in a container, at which point they occupy the same quantum state – something they don’t do in nature (even as they comply with the laws of nature) – and give rise to strange quantum effects that can be observed without a microscope.

    Ketterle’s attempts make for a fascinating tale; I collected some of them plus some anecdotes together for an article in The Wire in 2015, to mark the 90th year since Albert Einstein had predicted their existence, in 1924-1925. A chest-thumper might be cross that I left Satyendra Nath Bose out of this citation. It is deliberate. Bose-Einstein condensates are named for their underlying theory, called Bose-Einstein statistics. But while Bose had the idea for the theory to explain the properties of photons, Einstein generalised it to more particles, and independently predicted the existence of the condensates based on it.

    This said, if it is credit we’re hungering for: the history of atomic cooling techniques includes the brilliant but little-known S. Pancharatnam. His work in wave physics laid the foundations of many of the first cooling techniques, and was credited as such by Claude Cohen-Tannoudji in the journal Current Science in 1994. Cohen-Tannoudji would win a piece of the Nobel Prize for physics in 1997 for inventing a technique called Sisyphus cooling – a way to cool atoms by converting more and more of their kinetic energy to potential energy, and then draining the potential energy.

    Indeed, the history of atomic cooling techniques is, broadly speaking, a history of physicists uncovering newer, better ways to remove just a little bit more energy from an atom or molecule that’s already lost a lot of its energy. The ultimate prize is absolute zero, the lowest temperature possible, at which the atom retains only the energy it can in its ground state. However, absolute zero is neither practically attainable nor – more importantly – the goal in and of itself in most cases. Instead, the experiments in which physicists have achieved really low temperatures are often pegged to an application, and getting below a particular temperature is the goal.

    For example, niobium nitride becomes a superconductor below 16 K (-257º C), so applications using this material prepare to achieve this temperature during operation. For another, as the MIT-Harvard-Waterloo group of researchers write in their paper, “Ultra-cold molecules in the micro- and nano-kelvin regimes are expected to bring powerful capabilities to quantum emulation and quantum computing, owing to their rich internal degrees of freedom compared to atoms, and to facilitate precision measurement and the study of quantum chemistry.”

  • The trouble with laser-cooling anions

    For scientists to use lasers to cool an atom, the atom needs to have two energy states. When laser light is shined on an atom moving towards the source of light, one of its electrons absorbs a photon, climbs to a higher energy state and the atom as a whole loses some momentum. A short span of time later, the electron loses the photon in a random direction and drops back to its lower energy state, and the atom’s momentum changes only marginally.

    By repeating this series of steps over and over, scientists can use lasers to considerably slow atoms and decrease their temperature as well. For a more detailed description + historical notes (including a short profile of a relatively forgotten Indian scientist who contributed to the development of laser-cooling technologies), read this post.

    However, it’s hard to use this technique with most anions – negatively charged ions – because they don’t have a higher energy state per se. Instead, when laser light is shined on the atom, the electron responsible for the excess negative charge absorbs the photon and the atom simply ejects the energised electron.

    If the technique is to work, scientists need to find an anion that is bound to its one excess electron (keeping it from being electrically neutral) strongly enough that as the electron acquires more energy, the atom ascends to a higher energy state with it instead of just losing it. Scientists discovered the first such anion in the previous decade – osmium – and have since added only three more candidates to the list: lanthanum, cerium and diatomic carbon (C2). Lanthanum is and remains the most effective anion coolable with lasers. However, if the results of a study published on November 12 are to be believed, the thorium anion could be the new champion.

    Laser-cooling is relatively simpler than most atomic cooling techniques, such as laser-assisted evaporative cooling, and is known to be very effective. Applying it to anions would expand its gamut of applications. There are also techniques like sympathetic cooling, in which one type of laser-cooled anions can cool other types of anions trapped in the same container. This way, for example, physicists think they can produce ultra-cold anti-hydrogen atoms required to study the similarities between matter and antimatter.

    The problem with finding a suitable anion is centred on the atom’s electron affinity. It’s the amount of energy an electrically neutral atom gains or loses when it takes on one more electron and becomes an anion. If the atom’s electron affinity is too low, the energy imparted or taken away by the photons could free the electron.

    Until recently, theoretical calculations suggested the thorium anion had an electron affinity of around 0.3 eV – too low. However, the new study found based on experiments and calculations that the actual figure could be twice as high, around 0.6 eV, advancing the thorium anion as a new candidate for laser-cooling.

    The study’s authors also report other properties that make thorium even more suitable than lanthanum. For example, the atomic nucleus of the sole stable lanthanum isotope has a spin, so as it interacts with the magnetic field produced by the electrons around it, it subtly interferes with the electrons’ energy levels and makes laser-cooling more complicated than it needs to be. Thorium’s only stable isotope has zero nuclear spin, so these complications don’t arise.

    There doesn’t seem to be a working proof of the study’s results but it’s only a matter of time before other scientists devise a test because the study itself makes a few concrete predictions. The researchers expect that thorium anions can be cooled with laser light of frequency 2.6 micrometers to a frosty 0.04 microkelvin. They suggest doing this in two steps: first cooling the anions to around 10 kelvin and then cooling a collection of them further by enabling the absorption and emission of about 27,000 photons, tuned to the specified frequency, in a little under three seconds.