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On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework |
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| Authors: | S Tasaki P Facchi G Kimura H Nakazato S Pascazio |
| Institution: | a Department of Applied Physics and Advanced Institute for Complex Systems, Waseda University, Tokyo 169-8555, Japan b Department of Physics, Waseda University, Tokyo 169-8555, Japan c Dipartimento di Matematica, Università di Bari, I-70125 Bari, Italy d Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari, Italy e Dipartimento di Fisica, Università di Bari, I-70126 Bari, Italy |
| Abstract: | We analyze the dynamics of a quantum mechanical system in interaction with a reservoir when the initial state is not factorized. In the weak-coupling (van Hove) limit, the dynamics can be properly described in terms of a master equation, but a consistent application of Nakajima-Zwanzig’s projection method requires that the reference (not necessarily equilibrium) state of the reservoir be endowed with the mixing property. |
| Keywords: | 03 65 Yz 05 30 &minus d |
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