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

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2006.06.003· OSTI ID:20976738

Yuasa, K ^[1]; Tasaki, S ^[2]; Facchi, P ^[3]; Kimura, G ^[1]; Nakazato, H ^[1]; Ohba, I ^[1]; Pascazio, S ^[4]

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1. Department of Physics, Waseda University, Tokyo 169-8555 (Japan)
2. Department of Applied Physics and Advanced Institute for Complex Systems, Waseda University, Tokyo 169-8555 (Japan)
3. Dipartimento di Matematica, Universita di Bari, I-70125 Bari (Italy)
4. Dipartimento di Fisica, Universita di Bari, I-70126 Bari (Italy)

We analyze some solvable models of a quantum mechanical system in interaction with a reservoir when the initial state is not factorized. We apply Nakajima-Zwanzig's projection method by choosing a reference state of the reservoir endowed with the mixing property. In van Hove's limit, the dynamics is described in terms of a master equation. We observe that Markovianity becomes a valid approximation for timescales that depend both on the form factors of the interaction and on the observables of the reservoir that can be measured.

• OSTI ID: 20976738
• Journal Information: Annals of Physics (New York), Vol. 322, Issue 3; Other Information: DOI: 10.1016/j.aop.2006.06.003; PII: S0003-4916(06)00134-5; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
CORRELATIONS
EQUATIONS
FACTORIZATION
FORM FACTORS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
PARTICLE INTERACTIONS
QUANTUM MECHANICS