Quantum regression beyond the Born-Markov approximation for generalized spin-boson models

Abstract

The quantum regression formula for an open quantum system consists in an infinite hierarchy of conditions for its multi-time correlation functions, thus requiring full access to the total "system+environment" evolution, and providing a stronger requirement than CP-divisibility. Here, we analyze CP-divisibility and check the validity of quantum regression beyond the Born-Markov approximation (e.g. weak coupling limit) for a class of generalized spin-boson (GSB) models giving rise to a multi-level amplitude-damping evolution; in all cases, it is possible to engineer the system-bath coupling in such a way that quantum regression is exactly satisfied.

9 pages; to appear in Phys. Rev. A

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• Characterizing (non-)Markovianity through Fisher Information
• On Markovianity and classicality in multilevel spin-boson models
• Generalized spin-boson models with non-normalizable form factors
• Strongly coupled quantum Otto cycle with single qubit bath
• On the classicality of quantum dephasing processes
• Non-perturbative treatment of open-system multi-time expectation values in Gaussian bosonic environments
• Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
• Renormalization of spin$\unicode{x2013}$boson interactions mediated by singular form factors
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model
• A perturbation theory for multi-time correlation functions in open quantum systems
• Excitation-damping quantum channels
• Memory effects displayed in the evolution of continuous variable system