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ETDEWEB   /       /    On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework

On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework

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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.
Authors:
Tasaki, S; [1]  Yuasa, K; [2]  Facchi, P; [3]  Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)]; Kimura, G; [2]  Nakazato, H; [2]  Ohba, I; [2]  Pascazio, S; [4]  Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)]
  1. Department of Applied Physics and Advanced Institute for Complex Systems, Waseda University, Tokyo 169-8555 (Japan)
  2. Department of Physics, 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)
Publication Date:
Mar 15, 2007
DOI:
https://doi.org/10.1016/j.aop.2006.06.004
Product Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 322; Journal Issue: 3; Other Information: DOI: 10.1016/j.aop.2006.06.004; PII: S0003-4916(06)00133-3; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; EQUATIONS; EQUILIBRIUM; FACTORIZATION; PARTICLE INTERACTIONS; QUANTUM MECHANICS
OSTI ID:
20976737
Country of Origin:
United States
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0003-4916; APNYA6; TRN: US07R1918006558
Submitting Site:
INIS
Size:
page(s) 631-656
Announcement Date:
Feb 07, 2008

Journal Article:

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Citation Formats

Tasaki, S, Yuasa, K, Facchi, P, Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)], Kimura, G, Nakazato, H, Ohba, I, Pascazio, S, and Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)]. On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework. United States: N. p., 2007. Web. doi:10.1016/j.aop.2006.06.004.
Tasaki, S, Yuasa, K, Facchi, P, Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)], Kimura, G, Nakazato, H, Ohba, I, Pascazio, S, & Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)]. On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework. United States. https://doi.org/10.1016/j.aop.2006.06.004
Tasaki, S, Yuasa, K, Facchi, P, Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)], Kimura, G, Nakazato, H, Ohba, I, Pascazio, S, and Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)]. 2007. "On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework." United States. https://doi.org/10.1016/j.aop.2006.06.004.
@misc{etde_20976737,
title = {On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework}
 author = {Tasaki, S, Yuasa, K, Facchi, P, Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)], Kimura, G, Nakazato, H, Ohba, I, Pascazio, S, and Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)]}
 abstractNote = {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.}
 doi = {10.1016/j.aop.2006.06.004}
 journal = []
 issue = {3}
 volume = {322}
 place = {United States}
 year = {2007}
 month = {Mar}
 }