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BCS-BEC渡越过程超流费米气体在线性变化势中的集体激发
江楠梅,陈国镒,吉亮,罗超,张亮,文文
0
(河海大学常州校区基础学部,常州213022;河海大学常州校区机电学院,常州 213022;河海大学常州校区基础学部,常州213022;河海大学理学院,南京210098)
摘要:
基于超流流体力学方程组和标度理论,数值研究了Bardeen-Cooper-Schrieffer (BCS)-Bose-Einstein Condensate (BEC)渡越过程中超流费米气体在线性减小谐振子势下的集体激发.详细研究了包括谐振子势频率线性减小的速度,减小到的幅度以及势阱各向异性参数对集体激发的影响.通过频谱分析和数据拟合,分别研究了各向同性势和各向异性势下在最小振幅激发下所对应的模式,且数值计算得到的频率值在整个BCS-BEC渡越过程中与前期的理论结果符合得很好.该工作可以为后面超流费米气体集体激发的实验提供有益的理论参考
关键词:  超流费米气体,BCS-BEC渡越,集体激发
DOI:10.13380/j.ltpl.2019.01.006
基金项目:
Collective Excitations of Superfluid Fermi Gases in The BCS-BEC Crossover in A Linearly Ramped Trap
JIANG NanMei,CHEN Guoyi,JI Liang,LUO Chao,ZHANG Liang,WEN Wen
(Department of Mathematics and Physics, Hohai University, Changzhou 213022, China;College of Mechatronic Engineering, Hohai University, Changzhou 213022, China;Department of Mathematics and Physics, Hohai University, Changzhou 213022, China;College of Science, Hohai University, Nanjing 210098, China)
Abstract:
Based on the superfluid hydrodynamic equations and scaling theory, we numerically study the collective excitations of superfluid Fermi gases in the crossover from Bardeen-Cooper-Schrieffer (BCS) superfluid to the Bose-Einstein Condensate (BEC) of molecules in a linearly ramped trap. The effects of controllable parameters,including the velocity and amplitude of the linearly ramped trap, and the anisotropy of the trap on the excitations are studied in detail. Through the spectral analysis and data fitting, the frequencies of the collective modes in the zero-amplitude limit induced by the linearly ramped isotropic and anisotropic traps along the BCS-BEC crossover are presented, respectively, which are in agreement with theoretical results previously obtained. Our work may provide a reference to experiments on collective excitations in the future.
Key words:  superfluid Fermi gas, BCS-BEC crossover, collective excitations

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