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Author Royer, A.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ HAMILTONIANS ♦ TIME DEPENDENCE ♦ CORRELATIONS ♦ DENSITY MATRIX ♦ COUPLING ♦ FLUCTUATIONS ♦ MAGNETIC RESONANCE ♦ PROJECTION OPERATORS
Abstract We consider a small system {ital s} in a bath {ital b}, in the case that the state of {ital b} and all Hamiltonians are possibly time dependent. We obtain for the reduced density matrix of {ital s} and exact evolution equation {rho}{sub {ital s}}({ital t})={Lambda}({ital t},{tau}){rho}{sub {ital s}}({tau}), with ({partial_derivative}/{partial_derivative}{ital t}){Lambda}({ital t},{tau})={Gamma}({ital t},{tau}){Lambda}({ital t},{tau}), where {Gamma}({ital t},{tau}) depends on the system-bath correlations at time {tau}. The open evolutor {Lambda}({ital t},{tau}) can (but need not) be chosen completely positive. It is argued that as {ital t}{minus}{tau} increases, {Gamma}({ital t},{tau}){r_arrow}{Gamma}{sub 0}({ital t}) forgets the initial correlations and tends to Lindblad form in time-coarse-grained weak coupling limits. {copyright} {ital 1996 The American Physical Society.}
ISSN 00319007
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-10-01
Publisher Place United States
Journal Physical Review Letters
Volume Number 77
Issue Number 16


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