Random-matrix theory for the Lindblad master equation

被引：20

作者：

Lange, Stefan ^{[1
,2
]}

Timm, Carsten ^{[2
,3
]}

机构：

[1] Leibniz Assoc, Potsdam Inst Climate Impact Res PIK, POB 60 12 03, D-14412 Potsdam, Germany

[2] Tech Univ Dresden, Inst Theoret Phys, D-01062 Dresden, Germany

[3] Tech Univ Dresden, Wurzburg Dresden Cluster Excellence Ct Qmat, D-01062 Dresden, Germany

来源：

CHAOS | 2021年 / 31卷 / 02期

关键词：

ENERGY-LEVELS; STATISTICAL-THEORY; CHARACTERISTIC VECTORS; BORDERED MATRICES; ENSEMBLES;

D O I：

10.1063/5.0033486

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Open quantum systems with Markovian dynamics can be described by the Lindblad equation. The quantity governing the dynamics is the Lindblad superoperator. We apply random-matrix theory to this superoperator to elucidate its spectral properties. The distribution of eigenvalues and the correlations of neighboring eigenvalues are obtained for the cases of purely unitary dynamics, pure dissipation, and the physically realistic combination of unitary and dissipative dynamics.

引用

页数：17

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