Non-Markovian evolution of multi-level system interacting with several reservoirs. Exact and approximate

DOI10.1134/S1995080219100263zbMath1433.35400arXiv1904.07365WikidataQ127001070 ScholiaQ127001070MaRDI QIDQ2284233

Alexander E. Teretenkov

Publication date: 14 January 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07365

zbMATH Keywords

non-Markovian master equationGorini-Kossakowski-Sudarshan-Lindblad equationRedfield equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Open systems, reduced dynamics, master equations, decoherence (81S22) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82)

Related Items (9)

One-Particle Approximation as a Simple Playground for Irreversible Quantum Evolution ⋮ Quantum Markovian dynamics after the bath correlation time ⋮ Exact dynamics of moments and correlation functions for GKSL fermionic equations of Poisson type ⋮ Analogue of Chernoff theorem for cylindrical pseudomeasures ⋮ Integral representation of finite temperature non-Markovian evolution of some systems in rotating wave approximation ⋮ Long-time markovianity of multi-level systems in the rotating wave approximation ⋮ Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion ⋮ Derivation of the Redfield quantum master equation and corrections to it by the Bogoliubov method ⋮ Non-perturbative effects in corrections to quantum master equations arising in Bogolubov–van Hove limit

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