Non-Hermitian Physics and Master Equations

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

Open Systems & Information Dynamics Pub Date : 2022-01-14 DOI:10.1142/S1230161222500044

Federico Roccati, G. Palma, F. Ciccarello, F. Bagarello

引用次数: 15

Abstract

A longstanding tool to characterize the evolution of open Markovian quantum systems is the GKSL (Gorini-Kossakowski-Sudarshan-Lindblad) master equation. However, in some cases, open quantum systems can be effectively described with non-Hermitian Hamiltonians, which have attracted great interest in the last twenty years due to a number of unconventional properties, such as the appearance of exceptional points. Here, we present a short review of these two different approaches aiming in particular to highlight their relation and illustrate different ways of connecting non-Hermitian Hamiltonian to a GKSL master equation for the full density matrix.

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非厄米物理和主方程

描述开放马尔可夫量子系统演化的一个长期工具是GKSL (Gorini-Kossakowski-Sudarshan-Lindblad)主方程。然而，在某些情况下，开放量子系统可以用非厄米哈密顿量有效地描述，由于一些非常规的性质，例如异常点的出现，在过去的二十年中引起了极大的兴趣。在这里，我们简要回顾了这两种不同的方法，特别强调了它们之间的关系，并说明了将非厄米哈密顿量与全密度矩阵的GKSL主方程连接起来的不同方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.