Extended weak coupling limit for Pauli-Fierz operators

DOI10.1007/s00220-008-0419-3zbMath1175.82036arXivmath-ph/0610054OpenAlexW2045778943MaRDI QIDQ934609

Wojciech De Roeck, Jan Dereziński

Publication date: 30 July 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0610054

zbMATH Keywords

quantum Markov semigroupsquantum open systemsextended weak coupling limitLindblad generatorMarkovian master equationsPauli-Fierz operatorsquantum Langevin dynamics

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of operator theory in probability theory and statistics (47N30)

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Applications of Quantum Stochastic Processes in Quantum Optics, LARGE DEVIATION GENERATING FUNCTION FOR CURRENTS IN THE PAULI–FIERZ MODEL, Derivation of some translation-invariant Lindblad equations for a quantum Brownian particle, Approach to ground state and time-independent photon bound for massless spin-boson models, `Return to equilibrium' for weakly coupled quantum systems: a simple polymer expansion, Quantum fluctuation relations for the Lindblad master equation, Fluctuations of quantum currents and unravelings of master equations, Approximation and limit theorems for quantum stochastic models with unbounded coefficients, Conformal field theory out of equilibrium: a review, On the small mass limit of quantum Brownian motion with inhomogeneous damping and diffusion, Adiabatic elimination in quantum stochastic models, Energy transfer in open quantum systems weakly coupled with two reservoirs, Discrete approximation of quantum stochastic models, A geometric approach to the Landauer-Büttiker formula

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