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量子关联系统信息热力学的涨落定理

Fluctuation Theorem for Information Thermodynamics of Quantum Correlated Systems.

作者信息

Park Jung Jun, Nha Hyunchul

机构信息

School of Computational Sciences, Korea Institute for Advanced Study, Seoul 02455, Republic of Korea.

Department of Physics, Texas A&M University at Qatar, Education City, Doha 23874, Qatar.

出版信息

Entropy (Basel). 2023 Jan 13;25(1):165. doi: 10.3390/e25010165.

DOI:10.3390/e25010165
PMID:36673305
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9858563/
Abstract

We establish a fluctuation theorem for an open quantum bipartite system that explicitly manifests the role played by quantum correlation. Generally quantum correlations may substantially modify the universality of classical thermodynamic relations in composite systems. Our fluctuation theorem finds a non-equilibrium parameter of genuinely quantum nature that sheds light on the emerging quantum information thermodynamics. Specifically we show that the statistics of quantum correlation fluctuation obtained in a time-reversed process can provide a useful insight into addressing work and heat in the resulting thermodynamic evolution. We illustrate these quantum thermodynamic relations by two examples of quantum correlated systems.

摘要

我们为一个开放量子二分系统建立了一个涨落定理,该定理明确体现了量子关联所起的作用。一般来说,量子关联可能会显著改变复合系统中经典热力学关系的普遍性。我们的涨落定理找到了一个具有真正量子性质的非平衡参数,这为新兴的量子信息热力学提供了启示。具体而言,我们表明在时间反演过程中获得的量子关联涨落统计可以为理解由此产生的热力学演化中的功和热提供有用的见解。我们通过两个量子关联系统的例子来说明这些量子热力学关系。

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本文引用的文献

1
Canonically Consistent Quantum Master Equation.规范一致的量子主方程。
Phys Rev Lett. 2022 Nov 11;129(20):200403. doi: 10.1103/PhysRevLett.129.200403.
2
Information fluctuation theorem for an open quantum bipartite system.
Phys Rev E. 2020 May;101(5-1):052128. doi: 10.1103/PhysRevE.101.052128.
3
Thermodynamics of Quantum Information Flows.量子信息流的热力学
Phys Rev Lett. 2019 Apr 19;122(15):150603. doi: 10.1103/PhysRevLett.122.150603.
4
Fluctuation Theorem for Many-Body Pure Quantum States.多体纯量子态的涨落定理
Phys Rev Lett. 2017 Sep 8;119(10):100601. doi: 10.1103/PhysRevLett.119.100601. Epub 2017 Sep 5.
5
Aspects of quantum work.量子工作的各个方面。
Phys Rev E. 2016 Feb;93(2):022131. doi: 10.1103/PhysRevE.93.022131. Epub 2016 Feb 23.
6
How an autonomous quantum Maxwell demon can harness correlated information.一个自主量子麦克斯韦妖如何利用关联信息。
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062125. doi: 10.1103/PhysRevE.92.062125. Epub 2015 Dec 15.
7
Exchange fluctuation theorem for correlated quantum systems.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042113. doi: 10.1103/PhysRevE.92.042113. Epub 2015 Oct 6.
8
Nonequilibrium potential and fluctuation theorems for quantum maps.量子映射的非平衡势与涨落定理
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032129. doi: 10.1103/PhysRevE.92.032129. Epub 2015 Sep 21.
9
Jarzynski equality, Crooks fluctuation theorem, and the fluctuation theorems of heat for arbitrary initial states.贾兹温斯基等式、克鲁克斯涨落定理以及任意初始状态下的热涨落定理。
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jul;92(1):012131. doi: 10.1103/PhysRevE.92.012131. Epub 2015 Jul 23.
10
Description of quantum coherence in thermodynamic processes requires constraints beyond free energy.对热力学过程中量子相干性的描述需要超出自由能的约束条件。
Nat Commun. 2015 Mar 10;6:6383. doi: 10.1038/ncomms7383.