Non-perturbative effects in corrections to quantum master equations arising in Bogolubov–van Hove limit

DOI10.1088/1751-8121/ac0201OpenAlexW3078693305MaRDI QIDQ5874123

Alexander E. Teretenkov

Publication date: 7 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02820

zbMATH Keywords

master equationopen systemnon-Markovian quantum dynamics

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items

Quantum regression in dephasing phenomena, Quantum Markovian dynamics after the bath correlation time, Time-convolutionless master equations for composite open quantum systems, Long-time markovianity of multi-level systems in the rotating wave approximation

Uses Software

• DLMF

Cites Work

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• Matched asymptotic expansions. Ideas and techniques
• Markovian master equations
• On the generators of quantum dynamical semigroups
• Concepts of quantum non-markovianity: a hierarchy
• On an asymptotic expansion in quantum theory
• Non-Markovian evolution of multi-level system interacting with several reservoirs. Exact and approximate
• Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion
• Analytical and asymptotic evaluations of Dawson's integral and related functions in mathematical physics
• Pseudomode approach and vibronic non-Markovian phenomena in light-harvesting complexes
• Quantum decoherence, Zeno process, and time symmetry breaking
• The rotating-wave approximation: consistency and applicability from an open quantum system analysis
• Advanced Mathematics for Applications
• Designing Reservoirs for 1/t Decoherence of a Qubit
• On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type
• Energy corrections and persistent perturbation effects in continuous spectra
• Stationary states of weak coupling limit-type Markov generators and quantum transport models
• ON THE LARGE TIME BEHAVIOR OF QUANTUM SYSTEMS
• QUANTUM MULTIPOLE NOISE AND GENERALIZED QUANTUM STOCHASTIC EQUATIONS
• Asymptotic solution for first and second order linear Volterra integro-differential equations with convolution kernels
• Introduction to Non-Markovian Evolution of n-Level Quantum Systems
• Completely positive dynamical semigroups of N-level systems
• A characterization of quantum Markov semigroups of weak coupling limit type
• Staying positive: going beyond Lindblad with perturbative master equations
• Stochastic Liouville Equations
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
• On Quantum Theory of Transport Phenomena