论文标题

在翻译不变的量子系统中平衡的方法:一些结构性结果

Approach to equilibrium in translation-invariant quantum systems: some structural results

论文作者

Jakšić, Vojkan, Pillet, Claude-Alain, Tauber, Clément

论文摘要

我们制定了代数量子统计力学中平衡方法的方法,并研究了其一些结构方面,重点是热力学零体法(平衡方法)与第二定律(熵的增加)之间的关系。我们的主要结果是,平衡方法必然伴随着特异性(平均)能量和熵的严格增加。在分析过程中,我们介绍了具有独立利益的量子弱吉布斯状态的概念。

We formulate the problem of approach to equilibrium in algebraic quantum statistical mechanics and study some of its structural aspects, focusing on the relation between the zeroth law of thermodynamics (approach to equilibrium) and the second law (increase of entropy). Our main result is that approach to equilibrium is necessarily accompanied by a strict increase of the specific (mean) energy and entropy. In the course of our analysis, we introduce the concept of quantum weak Gibbs state which is of independent interest.

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