论文标题

有限孤立量子系统中的熵和温度

Entropy and Temperature in finite isolated quantum systems

论文作者

Burke, Phillip C., Haque, Masudul

论文摘要

我们研究了从微型熵熵中计算的温度与有限隔离量子系统的规范温度进行比较。我们专注于具有尺寸的系统,使它们可以通过数值精确的对角线化访问。因此,我们表征了有限大小的集成等价的偏差。我们描述了多种计算微型熵熵的方法,并为以这些方式计算的熵和温度呈现数值结果。我们表明,使用一个能量窗口具有特定能量依赖性的能量窗口会导致温度,与规范温度的偏差很小。

We investigate how the temperature calculated from the microcanonical entropy compares with the canonical temperature for finite isolated quantum systems. We concentrate on systems with sizes that make them accessible to numerical exact diagonalization. We thus characterize the deviations from ensemble equivalence at finite sizes. We describe multiple ways to compute the microcanonical entropy and present numerical results for the entropy and temperature computed in these various ways. We show that using an energy window whose width has a particular energy dependence results in a temperature with minimal deviations from the canonical temperature.

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