Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion revisited

Details Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion revisited Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion revisited

2003-12-11

arxiv.org/abs/quant-ph/0312103v2

Phys. Rev. A 69, 052115 (2004)

Physics

Quantum Physics

18 pages, RevTeX

Scientific paper

10.1103/PhysRevA.69.052115

Stochastic Schr{\"o}dinger equations for quantum trajectories offer an alternative and sometimes superior approach to the study of open quantum system dynamics. Here we show that recently established convolutionless non-Markovian stochastic Schr{\"o}dinger equations may serve as a powerful tool for the derivation of convolutionless master equations for non-Markovian open quantum systems. The most interesting example is quantum Brownian motion (QBM) of a harmonic oscillator coupled to a heat bath of oscillators, one of the most-employed exactly soluble models of open system dynamics. We show explicitly how to establish the direct connection between the exact convolutionless master equation of QBM and the corresponding convolutionless exact stochastic Schr\"odinger equation.

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