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 prop- erly 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.

On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework

FACCHI, PAOLO;PASCAZIO, Saverio
2007-01-01

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 prop- erly 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/126006
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