论文标题

混合量子经典系统的熵和规范合奏

Entropy and canonical ensemble of hybrid quantum classical systems

论文作者

Alonso, J. L., Bouthelier, C., Castro, A., Clemente-Gallardo, J., Jover-Galtier, J. A.

论文摘要

在这项工作中,我们将吉布斯和冯·诺伊曼的方法概括为构建杂种量子古典系统的熵的严格定义。当考虑合适的限制时,所得函数与上述两个情况一致。然后,我们将最大原理应用于此杂交熵函数,并获得杂交规范合奏(HCE)的自然候选者。我们证明,HCE的合适经典和量子限制与通常的经典和量子规范合奏一致,因为整个方案都允许这两个限制,因此表明最大原理适用于混合系统。

In this work we generalize and combine Gibbs and von Neumann approaches to build, for the first time, a rigorous definition of entropy for hybrid quantum-classical systems. The resulting function coincides with the two cases above when the suitable limits are considered. Then, we apply the MaxEnt principle for this hybrid entropy function and obtain the natural candidate for the Hybrid Canonical Ensemble (HCE). We prove that the suitable classical and quantum limits of the HCE coincide with the usual classical and quantum canonical ensembles since the whole scheme admits both limits, thus showing that the MaxEnt principle is applicable and consistent for hybrid systems.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源