Work, heat and entropy production in bipartite quantum systems

Work, heat and entropy production in bipartite quantum systems
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DOI:
10.1088/1367-2630/17/7/075014
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发表时间:
2015-07-15
影响因子:
3.3
通讯作者:
Olaya-Castro, Alexandra
Olaya-Castro, Alexandra
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Hossein-Nejad, Hoda;O'Reilly, Edward J.;Olaya-Castro, Alexandra

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在二部量子系统中,每个子系统的哈密顿量与相互作用之间的交换关系对每个分块的动力学施加了基本约束。本文研究了局部哈密顿算子与相互作用算子之间具有特定换向子的二部系统的功、热和熵的产生。我们考虑(Weimer等2008年Europhys)的形式主义。leet . 83 30008),其中热量(功)与能量变化(不)改变局部冯·诺伊曼熵相识别,如在有效的局部测量基础上观察到的。我们证明了交换关系对每个分区的功和热通量的影响,并将形式主义推广到开放量子系统,其中一个或两个分区都受到马尔可夫热浴的影响。我们还讨论了非热平衡的二部量子系统中热量与熵的关系,并将上述方法与热力学第二定律进行了调和。
In bipartite quantum systems commutation relations between the Hamiltonian of each subsystem and the interaction impose fundamental constraints on the dynamics of each partition. Here we investigate work, heat and entropy production in bipartite systems characterized by particular commutators between their local Hamiltonians and the interaction operator. We consider the formalism of (Weimer et al 2008 Europhys. Lett. 83 30008), in which heat (work) is identifiedwith energy changes that (do not) alter the local von Neumann entropy, as observed in an effective local measurement basis. We demonstrate the consequences of the commutation relations on the work and heat fluxes into each partition, and extend the formalism to open quantum systems where one, or both, partitions are subject to a Markovian thermal bath. We also discuss the relation between heat and entropy in bipartite quantum systems out of thermal equilibrium, and reconcile the aforementioned approach with the second law of thermodynamics.