Exact c-number Representation of Non-Markovian Quantum Dissipation

Details Exact c-number Representation of Non-Markovian Quantum Dissipation Exact c-number Representation of Non-Markovian Quantum Dissipation

2002-03-08

arxiv.org/abs/cond-mat/0203193v1

Phys. Rev. Lett. 88, 170407 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures. To be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.88.170407

The reduced dynamics of a quantum system interacting with a linear heat bath finds an exact representation in terms of a stochastic Schr{\"o}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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