Lange Stefan, Timm Carsten
Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association, P.O. Box 60 12 03, 14412 Potsdam, Germany.
Institute of Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany.
Chaos. 2021 Feb;31(2):023101. doi: 10.1063/5.0033486.
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.
具有马尔可夫动力学的开放量子系统可以用林德布拉德方程来描述。支配动力学的量是林德布拉德超算符。我们将随机矩阵理论应用于这个超算符，以阐明其谱性质。对于纯幺正动力学、纯耗散以及幺正和耗散动力学的物理现实组合的情况，我们得到了本征值的分布以及相邻本征值的相关性。
