论文标题

相对论流体的热力学的第二定律,用相对熵配制

Second law of thermodynamics for relativistic fluids formulated with relative entropy

论文作者

Dowling, Neil, Floerchinger, Stefan, Haas, Tobias

论文摘要

使用相对熵的开放量子系统从量子信息理论的角度讨论并重新制定了热力学的第二定律。具体而言,考虑到量子状态相对于平衡状态的相对熵,其单调性特性相对于开放量子系统的演变用于获得第二定律样不平等。我们首先讨论与热浴接触的通用量子系统,然后转向适合在相对论量子场理论中描述局部动力学的公式。类似于相对论流体动力学中使用的第二定律的本地版本可以用相对熵甚至相对纠缠的熵在由两个光锥界的时空区域中进行配制。我们还为孤立的量子场理论提供了前景,并讨论了纠缠相对论流体动力学的作用。

The second law of thermodynamics is discussed and reformulated from a quantum information theoretic perspective for open quantum systems using relative entropy. Specifically, the relative entropy of a quantum state with respect to equilibrium states is considered and its monotonicity property with respect to an open quantum system evolution is used to obtain second law-like inequalities. We discuss this first for generic quantum systems in contact with a thermal bath and subsequently turn to a formulation suitable for the description of local dynamics in a relativistic quantum field theory. A local version of the second law similar to the one used in relativistic fluid dynamics can be formulated with relative entropy or even relative entanglement entropy in a space-time region bounded by two light cones. We also give an outlook towards isolated quantum field theories and discuss the role of entanglement for relativistic fluid dynamics.

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