Complete positivity, positivity and long-time asymptotic behavior in a two-level open quantum system
arXiv:2304.01748 · doi:10.1103/PhysRevA.108.032212
Abstract
We study the concepts of complete positivity, positivity and non-Markovianity in a two-level open quantum system whose dynamics are governed by a time-local quantum master equation. We establish necessary and sufficient conditions on the time-dependent relaxation rates to ensure complete positivity and positivity of the dynamical map. We discuss their relations with the non-Markovian behavior of the open system. We also analyze the long-time asymptotic behavior of the dynamics as a function of the rates. We show under which conditions on the rates the system tends to the equilibrium state. Different examples illustrate this general study.
arXiv comment22 pages, 2 figures
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