d维理想任意子气体的绝热声速和压缩性
Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas
摘要：
本文利用Halfman分数不相容统计方法计算了任意维简谐囚禁的理想任意子的绝热声速和压缩率。详细研究了相应的低温和高温行为。为了与幺正费米子的实验结果进行比较，本文导出了雪茄形阱中任意子的声速。计算了盘形阱中任意子的声速。当g=0.287时，用任意子模拟的雪茄形陷阱中幺正费米子的声速与实验结果符合较好，而圆盘形陷阱中幺正费米子的声速为v_{0} / v_{F} =0.406，费米速度为v_{F} .
英文摘要：
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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