Quantum trajectories for Brownian motion

Details Quantum trajectories for Brownian motion Quantum trajectories for Brownian motion

1999-07-30

arxiv.org/abs/quant-ph/9907100v1

Phys. Rev. Lett. 83, 4909 (1999)

Physics

Quantum Physics

4 pages, 3 eps figures

Scientific paper

10.1103/PhysRevLett.83.4909

We present the stochastic Schroedinger equation for the dynamics of a quantum particle coupled to a high temperature environment and apply it the dynamics of a driven, damped, nonlinear quantum oscillator. Apart from an initial slip on the environmental memory time scale, in the mean, our result recovers the solution of the known non-Lindblad quantum Brownian motion master equation. A remarkable feature of our approach is its localization property: individual quantum trajectories remain localized wave packets for all times, even for the classically chaotic system considered here, the localization being stronger the smaller $\hbar$.

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