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arXiv · 1202.3520

Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas

Fang Qin·Ji-sheng Chen
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Abstract

The adiabatic sound velocity and compressibility for harmonically trapped ideal anyons in arbitrary dimensions are calculated within Haldane fractional exclusion statistics. The corresponding low-temperature and high-temperature behaviors are studied in detail. To compare with the experimental result of unitary fermions, the sound velocity for anyons in the cigar-shaped trap is derived. The sound velocity for anyons in the disk-shaped trap is also calculated. With the parameter g=0.287, the sound velocity of unitary fermions in the cigar-shaped trap modeled by anyons is in good agreement with the experimental result, while that of unitary fermions in the disk-shaped trap is v_{0}/v_{F}=0.406 with Fermi velocity v_{F}.

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Fang Qin, Ji-sheng Chen. 2012-02-16. Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas. https://doi.org/10.1016/j.physleta.2012.02.034

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