Thermodynamics of Finite Bose Systems: An Exact Canonical-Ensemble Treatment with Different Traps
Thermodynamics of Finite Bose Systems: An Exact Canonical-Ensemble Treatment with Different Traps
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DOI：
10.1007/s10909-010-0232-1
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发表时间：
2011
影响因子：
2
通讯作者：
Jianhui Wang;Yongli Ma;Jizhou He
中科院分区：
文献类型：
--
作者：
Jianhui Wang;Yongli Ma;Jizhou He
基于一个精确的正则配分函数，我们研究了有限个理想玻色子在立方盒子和谐振子陷阱中的热力学和陷阱尺寸标度行为。在周期边界条件和Dirichlet边界条件下的箱阱和谐波阱中，我们计算了化学势μ、比热CN、凝聚分数<n0>/N、凝聚粒子数均方根涨落δ n 0和相变温度Tc等物理量，并比较了不同阱下的这些物理量.本文通过提出几种Tc的定义讨论了Tc对粒子数的依赖性，其中对于有限系统，这些值之间的差异是相当大的。
Based on an exact canonical partition function, we investigate the thermodynamics and trap-size scaling behaviors for a finite number of ideal bosons confined in a cubic box or in a harmonic trap. Both in the box trap imposed by either periodic or Dirichlet boundary conditions (BCs) and in the harmonic trap, we calculate several physical quantities including the chemical potentialμ, specific heatCN, condensate fraction <n0>/N, root-mean-square fluctuationsδn0of the condensate population, and transition temperatureTc, and compare these quantities under different traps. We discuss the particle-number dependence ofTcthrough proposing severalTcdefinitions, where the differences among these values are considerable for the finite systems.