Random-matrix theory for the Lindblad master equation
Stefan Lange, Carsten Timm
Abstract
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.
Topics & Concepts
Lindblad equationMaster equationEigenvalues and eigenvectorsDissipative systemMathematicsDynamics (music)Unitary stateStatistical physicsQuantumPhysicsQuantum mechanicsLawAcousticsPolitical scienceQuantum many-body systemsQuantum Mechanics and ApplicationsQuantum Information and Cryptography