Quantum Onsager relations

IF 5.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Mankei Tsang
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引用次数: 0

Abstract

Using quantum information geometry, I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The generalized equations hold for a flexible definition of the forces as well as a large class of statistical divergence measures and quantum-Fisher-information metrics beyond the conventional definition of entropy production. I also derive quantum Onsager–Casimir relations for the transport tensors by proposing a general concept of time reversal and detailed balance for open quantum systems. The results establish a remarkable connection between statistical mechanics and parameter estimation theory.
量子翁萨格关系
利用量子信息几何学,我推导出了昂萨格速率方程的量子广义,该方程模拟了接近稳态的开放系统的动力学。这些广义方程适用于力的灵活定义以及一大类统计发散度量和量子鱼信息度量,超出了熵产生的传统定义。我还通过提出开放量子系统的时间逆转和详细平衡的一般概念,推导出了输运张量的量子昂萨格尔-卡西米尔关系。这些结果在统计力学和参数估计理论之间建立了非凡的联系。
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来源期刊
Quantum Science and Technology
Quantum Science and Technology Materials Science-Materials Science (miscellaneous)
CiteScore
11.20
自引率
3.00%
发文量
133
期刊介绍: Driven by advances in technology and experimental capability, the last decade has seen the emergence of quantum technology: a new praxis for controlling the quantum world. It is now possible to engineer complex, multi-component systems that merge the once distinct fields of quantum optics and condensed matter physics. Quantum Science and Technology is a new multidisciplinary, electronic-only journal, devoted to publishing research of the highest quality and impact covering theoretical and experimental advances in the fundamental science and application of all quantum-enabled technologies.
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