Subsystem dynamics in mixed quantum-classical systems
Subsystem dynamics in mixed quantum-classical systems
Publication Type:
Journal ArticleSource:
Chemical Physics, Volume 268, Number 1-3, p.79-89 (2001)URL:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-0035876707&doi=10.1016%2fS0301-0104%2801%2900290-7&partnerID=40&md5=6ab8d5214d1f78fce95d72375a13056cKeywords:
Article, Dynamics, mathematical analysis, mathematical model, molecular interaction, quantum mechanicsAbstract:
Starting with the mixed quantum-classical Liouville equation, projection operator methods are used to derive an equation of motion for a quantum subsystem dissipatively interacting with a classical bath. The resulting generalized master equation is reduced to the Lindblad equation after making a Markovian approximation in the weak coupling limit. The bath subsystem dynamics is studied from a similar perspective. For situations where the classical subsystem consists of few degrees of freedom, or one is interested in the nature of the modifications of its dynamics as a result of coupling to a large, rapidly relaxing quantum bath, a classical analog of the Lindblad equation is derived and discussed. © 2001 Elsevier Science B.V.
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