囚禁准二维玻色气体的Holzmann-Chevallier-Krauth理论分析
Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas
摘要：
我们提供了一个深入分析的理论提出的Holzmann，Chevallier和Krauth（HCK）[欧洲物理学。信件：{ \bf 82}，30001（2008）]用于预测在谐波捕获的准二维（2D）玻色气体中发生Berezinskiii-Kosterlitz-无边界（BKT）转变到超流状态的温度。他们的理论是基于平均场模型的系统密度，我们表明，HCK预测略有变化时，使用改进的平均场理论和识别的过渡点。在这个分析中，我们开发了一个一致的理论，提供了一个下限的BKT转变温度在被困准二维玻色气体。
英文摘要：
We provide an in depth analysis of the theory proposed by Holzmann, Chevallier and Krauth (HCK) [Europhys. Lett., {\bf 82}, 30001 (2008)] for predicting the temperature at which the Berezinskii-Kosterlitz-Thouless (BKT) transition to a superfluid state occurs in the harmonically trapped quasi-two-dimensional (2D) Bose gas. Their theory is based on a meanfield model of the system density and we show that the HCK predictions change appreciably when an improved meanfield theory and identification of the transition point is used. In this analysis we develop a consistent theory that provides a lower bound for the BKT transition temperature in the trapped quasi-2D Bose gas.
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