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Exact c-number Representation of Non-Markovian Quantum Dissipation

J. Stockburger·H. Grabert
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Abstract

The reduced dynamics of a quantum system interacting with a linear heat bath finds an exact representation in terms of a stochastic Schr{ö}dinger equation. All memory effects of the reservoir are transformed into noise correlations and mean-field friction. The classical limit of the resulting stochastic dynamics is shown to be a generalized Langevin equation, and conventional quantum state diffusion is recovered in the Born--Markov approximation. The non-Markovian exact dynamics, valid at arbitrary temperature and damping strength, is exemplified by an application to the dissipative two-state system.

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J. Stockburger, H. Grabert. 2002-03-08. Exact c-number Representation of Non-Markovian Quantum Dissipation. https://doi.org/10.1103/physrevlett.88.170407

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