On the assumption of initial factorization in the master equation for weakly coupled systems. II: Solvable models

DOI10.1016/j.aop.2006.06.003zbMath1112.82008arXivquant-ph/0602185OpenAlexW3102835536WikidataQ59472905 ScholiaQ59472905MaRDI QIDQ870351

N. E. Zubov

Publication date: 12 March 2007

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0602185

zbMATH Keywords

dissipationcorrelationsmaster equationNakajima-Zwanzig's projection methodvan Hove's limit

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

Related Items (5)

Correlation decay and Markovianity in open systems ⋮ Quantum Markovian master equations: resonance theory shows validity for all time scales ⋮ Nonlinear generalized master equations and accounting for initial correlations ⋮ Brownian motion, quantum corrections and a generalization of the Hermite polynomials ⋮ Dynamical maps beyond Markovian regime

Cites Work

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• Systematic elimination of fast variables in linear systems
• Combining projection superoperators and cumulant expansions in open quantum dynamics with initial correlations and fluctuating Hamiltonians and environments
• The factorization approximation for the Master equation
• DECAY OF COHERENCE AND ENTANGLEMENT OF A SUPERPOSITION STATE FOR A CONTINUOUS VARIABLE SYSTEM IN AN ARBITRARY HEAT BATH
• Dynamics of initially entangled open quantum systems
• Complete positivity and dissipative factorized dynamics
• Reduced dynamics for entangled initial state of the full density operator
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.

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