Exact c-number Representation of Non-Markovian Quantum Dissipation

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.

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

References in corpus (9)

• Non-Markovian Quantum State Diffusion
• Open system dynamics with non-Markovian quantum trajectories
• The non-Markovian stochastic Schrodinger equation for open systems
• Low-temperature dynamical simulation of spin-boson systems
• Linear quantum state diffusion for non-Markovian open quantum systems
• Dynamical simulation of current fluctuations in a dissipative two-state system
• A Stochastic Liouvillian Algorithm to Simulate Dissipative Quantum Dynamics With Arbitrary Precision
• Exact semiclassical wave equation for stochastic quantum optics
• Quantum Langevin equation from forward--backward path integral

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