二维简谐势阱中旋转理想玻色气体热力学性质的修正

利用截断求和方法修正了二维简谐势阱中旋转理想玻色气体的热力学性质.对玻色-爱因斯坦凝聚(BEC)临界温度的修正表明:旋转框架下的BEC临界温度随旋转频率增大而快速趋近于零,到达势阱特征频率时,基态将会发生从BEC态到强关联非凝聚态的转变;由合成磁场引起的旋转对BEC临界温度的影响则要弱得多.对旋转导致的抗磁性的修正表明:磁化强度随旋转频率和合成磁场的增大而增强.利用截断求和方法计算的结果与考虑有限尺度效应的修正结果获得了很好的一致.

Corrections on thermodynamics of rotating ideal Bose gases confined in a two dimensional harmonic trap

Thermodynamics of rotating ideal Bose gases confined in a two dimensional (2D) harmonic trap are corrected by introducing truncated-summation approach. It indicates that Bose-Einstein condensation (BEC) critical temperature in a rotating frame rapidly drops to zero with increasing rotation frequency. When the rotation frequency approaches to trapping frequency, the BEC ground state will turn into strongly correlated non-condensed phase. Bose gases in a rotating frame exhibit much stronger dependence on the rotating frequency than those in synthetic magnetic field. It also suggests that the diamagnetism resulted by rotation becomes strong as the rotation frequency and synthetic magnetic field strength increase. Our results have a good agreement with those calculated by considering the fine size effect.