Open system dynamics with non-Markovian quantum trajectories

Details Open system dynamics with non-Markovian quantum trajectories Open system dynamics with non-Markovian quantum trajectories

1998-03-27

arxiv.org/abs/quant-ph/9803079v1

Phys.Rev.Lett. 82 (1999) 1801-1805

Physics

Quantum Physics

4 pages RevTeX, 3 figures

Scientific paper

10.1103/PhysRevLett.82.1801

A non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any approximation. We illustrate the power of this approach with several examples, including exponentially decaying bath correlations and extreme non-Markovian cases, where the `environment' consists of only a single oscillator. The latter case shows the decay and revival of a `Schroedinger cat' state. For strong coupling to a dissipative environment with memory, the asymptotic state can be reached in a finite time. Our description of open systems is compatible with different positions of the `Heisenberg cut' between system and environment.

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