Document Detail


Quantum master equation for a system influencing its environment.
MedLine Citation:
PMID:  14754274     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
A perturbative quantum master equation is derived for a system interacting with its environment, which is more general than the ones derived before. Our master equation takes into account the effect of the energy exchanges between the system and the environment and the conservation of energy in the finite total system. This master equation describes relaxation mechanisms in isolated nanoscopic quantum systems. In its most general form, this equation is non-Markovian and a Markovian version of it rules the long-time relaxation. We show that our equation reduces to the Redfield equation in the limit where the energy of the system does not affect the density of state of its environment. This master equation and the Redfield one are applied to a spin-environment model defined in terms of random matrices and compared with the solutions of the exact von Neumann equation. The comparison proves the necessity to allow energy exchange between the subsystem and the environment in order to correctly describe the relaxation in an isolated nanoscopic total system.
Authors:
Massimiliano Esposito; Pierre Gaspard
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Publication Detail:
Type:  Journal Article     Date:  2003-12-24
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  68     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2003 Dec 
Date Detail:
Created Date:  2004-02-02     Completed Date:  2004-06-08     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  066112     Citation Subset:  -    
Affiliation:
Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Code Postal 231, Campus Plaine, B-1050 Brussels, Belgium.
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