退相干是开放量子系统中安德森局域化的一种回波

IF 1.3 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2025-01-18 DOI:10.1007/s00023-024-01528-w

Frederik Ravn Klausen, Simone Warzel

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引用次数: 0

摘要

我们研究了用带有局域项的Lindblad主方程描述的单粒子量子态的时间演化。利用林德布莱德发生器的几何解析方程，建立了非对角矩阵元素在时间演化状态或稳态位置基上衰减的有限体积型判据。对于非厄米演化要么是间隙的，要么是强无序的系统，这一准则显示出指数衰减。例如，只要系统中存在任何程度的局部失相，就会存在间隙。无序情况下的结果可以看作是安德森局域化对开放量子系统的扩展。

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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Decoherence is an Echo of Anderson Localization in Open Quantum Systems

We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindblad generators, we establish a finite-volume-type criterion for the decay of the off-diagonal matrix elements in the position basis of the time-evolved or steady states. This criterion is shown to yield exponential decay for systems where the non-hermitian evolution is either gapped or strongly disordered. The gap exists, for example, whenever any level of local dephasing is present in the system. The result in the disordered case can be viewed as an extension of Anderson localization to open quantum systems.

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.