与欧拉循环相关的弱耦合极限型量子马尔可夫半群的一致和完全非平衡不变量态

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Open Systems & Information Dynamics Pub Date : 2021-06-01 DOI:10.1142/s1230161221500050

M. Rosa, J. C. García-Corte, F. Guerrero-Poblet

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引用次数: 0

摘要

我们定义了与欧拉循环相关的均匀和完全非平衡不变状态;一旦我们这样做了，我们就使用Hierholzer的算法来获得一个标准的欧拉-Hierholzer循环，并对它描述不变状态。对于最简单的非平衡态，我们给出了这些状态不变的充分条件，并明确地写出了其特征值。

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Uniform and Completely Nonequilibrium Invariant States for Weak Coupling Limit Type Quantum Markov Semigroups Associated with Eulerian Cycles

We define the uniform and completely nonequilibrium invariant states, which are associated with Eulerian cycles; once we did this, we use the Hierholzer’s algorithm to obtain a canonical Euler-Hierholzer cycle, and for it, characterize the invariant state. For the simplest case of nonequilibrium, we give sufficient conditions for these states to be invariant and write its eigenvalues explicitly.

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来源期刊

Open Systems & Information Dynamics 工程技术-计算机：信息系统

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.