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Random-matrix theory for the Lindblad master equation. | LitMetric

Random-matrix theory for the Lindblad master equation.

Chaos

Institute of Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany.

Published: February 2021

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.

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Source
http://dx.doi.org/10.1063/5.0033486DOI Listing

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