量子光学学报, 2014, 20 (3): 248, 网络出版: 2014-09-01
基于局域密度近似理论下的相互作用有限粒子数费米气体的临界温度研究
Study on the Critical Temperature of the Trapped Interacting Fermi Gas with Finite Particle Number Based on Local-density Approximation
局域密度近似 临界温度 有限粒子数 Bogoliubov-de Gennes(BdG)方程 local-density approximation critical temperature finite particle number Bogoliubov-de Gennes (BdG) equations
摘要
我们利用局域密度近似方法,通过计算 Bogoliubov-de Gennes (BdG) 方程研究了三维谐振子势阱约束下,考虑相互作用的有限粒子数费米气体的临界温度随相互作用强度和系统粒子总数的变化关系。结果表明:在相同的相互作用强度下,系统的临界温度随着粒子总数的增多而升高。在相同粒子数条件下,系统的临界温度随着相互作用强度的增大而升高。这里的结果为实验上进一步探寻有限粒子数下的相互作用多体量子系统的超流态到普通态的临界温度提供了理论依据。
Abstract
On the basis of local-density approximation, the critical temperature of a trapped interacting Fermi gas was calculated by solving the Bogoliubov-de Gennes (BdG) equations with finite particle number and interacting strength in three dimensions. It was found that the critical temperature increases with the increase of the particle number with the same interacting strength, and it was a monotone increasing function of the interacting strength with the same particle number. These results provide theoretical predictions for the investigation of the critical temperature in experiment.
覃昉, 熊辉, 王彤彤. 基于局域密度近似理论下的相互作用有限粒子数费米气体的临界温度研究[J]. 量子光学学报, 2014, 20(3): 248. QIN Fang, XIONG Hui, WANG Tong-tong. Study on the Critical Temperature of the Trapped Interacting Fermi Gas with Finite Particle Number Based on Local-density Approximation[J]. Acta Sinica Quantum Optica, 2014, 20(3): 248.