Phys. Rev. Lett. 83, 4909–4913 (1999)Quantum Trajectories for Brownian MotionReceived 30 July 1999; published in the issue dated 13 December 1999 We present the stochastic Schrödinger equation for the dynamics of a quantum particle coupled to a high temperature environment and apply it to 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 powerful stochastic 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 as ħ→0. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.4909
DOI:
10.1103/PhysRevLett.83.4909
PACS:
05.40.Jc, 03.65.Sq, 05.45.Mt, 42.50.Lc
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