Virial expansion for a strongly correlated Fermi gas

Details Virial expansion for a strongly correlated Fermi gas Virial expansion for a strongly correlated Fermi gas

2009-03-31

arxiv.org/abs/0903.5366v3

Phys. Rev. Lett. 102 (2009) 160401

Physics

Condensed Matter

Quantum Gases

4 pages,4 figures. published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.102.160401

Using a high temperature virial expansion, we present a controllable study of the thermodynamics of strongly correlated Fermi gases near the BEC-BCS crossover region. We propose a practical way to determine the expansion coefficients for both harmonically trapped and homogeneous cases, and calculate the third order coefficient $b_{3}(T)$ at finite temperatures $T$. At resonance, a $T$-independent coefficient $b_{3,\infty}^{\hom}\approx-0.29095295$ is determined in free space. These results are compared with a recent thermodynamic measurement of $^{6}$Li atoms, at temperatures below the degeneracy temperature, and with Monte Carlo simulations.

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