Thermodynamics of a dilute Bose gas: A path-integral Monte Carlo study
Thermodynamics of a dilute Bose gas: A path-integral Monte Carlo study
复制标题
稀玻色气体的热力学：路径积分蒙特卡罗研究
DOI：
10.1103/physreva.105.013325
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发表时间：
2021
影响因子：
2.9
通讯作者：
S. Giorgini
中科院分区：
文献类型：
--
作者：
G. Spada;S. Pilati;S. Giorgini
我们给出了均匀稀玻色气体热力学的精确路径积分蒙特卡罗结果。在玻色-爱因斯坦相变前后，压强和能量都是温度的函数。具体地说，我们讨论相互作用效应，重点是热力学极限中偏离理想气体定律的情况。我们还计算了等温可压缩性和接触参数，这为相互作用所起的作用提供了明确的特征。特别地，我们证明了可压缩性在过渡点处表现出不连续性。为了获得物理意义，数值结果与一阶Hartree-Fock理论和二阶Popov理论的预测进行了系统的比较，两者都给出了气体热力学的近似描述。比较表明，在过渡点附近的临界区扩大了，微扰展开式的不精确度在这里更加明显。
We present precise path-integral Monte-Carlo results for the thermodynamics of a homogeneous dilute Bose gas. Pressure and energy are calculated as a function of temperature both below and above the Bose-Einstein transition. Specifically, we address interaction effects, focusing on deviations from the ideal gas law in the thermodynamic limit. We also calculate the isothermal compressibility and the contact parameter, which provide a clear signature of the role played by interactions. In particular, we show that the compressibility exhibits a discontinuity at the transition point. To gain physical insight, numerical results are systematically compared with the predictions of first-order Hartree-Fock and second-order Popov theories, both giving an approximate description of the gas thermodynamics. The comparison shows the extension of the critical region around the transition point, where the inaccuracies of the perturbative expansions are more pronounced.
影响因子：
56.9
作者：
Zoe Z. Yan;Yiqi Ni;C. Robens;M. Zwierlein
通讯作者：
Zoe Z. Yan;Yiqi Ni;C. Robens;M. Zwierlein