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Fermions vs Bosons Near Absolute Zero

The above figure shows false-color images of ultracold lithium-atom clouds, produced by physicists at Rice University. Lithium has two stable isotopes, one of which is a boson (lithium-7), the other of which is a fermion (lithium-6). Bosons and fermions are the two fundamental types of quantum particles found in nature. The lithium species are very similar in many respects; for example, they contain the same configuration of electrons, making them chemically identical. But in a low-temperature environment, dramatic differences appear between the lithium because of the fact that they comprise two fundamentally different kinds of particles.

The Rice researchers trapped the two lithium species together in the same cloud and photographed them one after the other. As it turned out, the bosons (lithium-7) are used to help cool the fermions (lithium-6) down to a low temperature.

The atom clouds are shown at three different temperatures: 810, 510 and 240 nano-Kelvin. One nano-Kelvin is an extremely cold temperature--it's a billionth of a degree above absolute zero, which is -460 degrees Fahrenheit. As the temperature gets colder, one can see that the boson gas, shown on the left, coalesces into a compact cloud, while the size of the fermion gas stabilizes at a specific size. This illustrates the principle of "Fermi degeneracy," in which the fermions cannot condense further, due to a law of quantum mechanics--the Pauli exclusion principle--that keeps identical fermions from occupying the same space at the same time. The same effect stabilizes white dwarf stars against collapse under their own gravitational attraction.

The somewhat anti-social nature of fermions has made it difficult to cool them to low temperatures. But the Rice researchers used the ingenious idea of "sympathetic" cooling, in which one species acts as a refrigerant for another. In this case, the bosons act as the refrigerator, while the fermions are cooled by contact with the bosons.

Here's how it works. The researchers first trap the two types of particles in a magnetic field. Through a process known as "evaporative cooling," the hottest, most energetic particles escape from the trap. Only the colder, more sluggish particles remain, and this brings about a cooler overall temperature for the gas. The evaporative cooling process is exactly what happens when you blow on a cup of coffee to cool it off--you are causing the hotter steam molecules to escape, leaving colder liquid molecules which lowers the overall temperature of your drink.

Evaporative cooling works great for bosons, but not as well for fermions. Evaporative cooling only works effectively when particles are constantly bombarding each other. When particles collide with one another, they redistribute their energy. With collisions, even the most sluggish particles could eventually gain enough energy to escape the trap. Another way to look at it is that the collisions help energy to escape the trap. But fermions tend to resist collisions. Bosons, on the other hand, have no such aversion to collisions. The bosons in the trap collide with fermions and help them to redistribute their energy, producing hotter, high-energy fermions which leave the trap, so that only colder fermions remain. This allows the researchers to achieve low temperatures with fermions.

Although the size of the fermion cloud cannot be shrunk below a certain point, the researchers are striving to cool the gas further. Each fermion can be imagined to contain a tiny bar magnet; the strength of the magnet and its other characteristics are specified by a property called "spin." By creating a fermion gas with two different values of spin, and cooling the gas to temperatures below those already achieved, the researchers hope to pair together fermions with the two different spin values to create something known as a "Cooper pair." The Cooper pair is the basic ingredient of a superconductor, a material in which electricity can travel without resistance. Studying these Cooper pairs in the simple setting of a gas will bring new insights into the nature of superconductivity.

Superconductors are potentially very important for society, as researchers hope that they will someday lead to a more efficient way of distributing electricity. Physicists envision this application with solid superconductors. But superconductivity is not completely understood. Moreover, solid superconductors are hard to analyze, because they often contain impurity atoms or defects in their crystal structure.

Studied in a gas, superconducting Cooper pairs would be much simpler to analyze theoretically. In addition, the atom trap setup enables researchers to modify the strength of interactions between the particles, making the fermions anywhere from weakly attractive to strongly attractive. This can help provide insights into BCS theory, the theory of low-temperature metal superconductors. Most superconductors are believed to contain weakly interacting Cooper pairs, but the recently discovered magnesium boride superconductors, which are superconducting at record-high temperatures for a metal, seem to contain Cooper pairs more strongly interacting than other metal superconductors.

(Thanks to Randy Hulet and colleagues at Rice University for providing the figure and parts of the caption.)

Reported by: Andrew G. Truscott, Kevin E. Strecker, William I. McAlexander, Guthrie Partridge, and Randall G. Hulet, "Observation of Fermi Pressure in a Gas of Trapped Atoms," Science, 2 March 2001

Rice News Release on this work

Atomcool! Home page at Rice University

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