Quantum trajectories for brownian motion

Walter T. Strunz, Lajos Diósi, Nicolas Gisin, Ting Yu

Research output: Contribution to journalArticlepeer-review

72 Scopus citations

Abstract

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

Original languageEnglish
Pages (from-to)4909-4913
Number of pages5
JournalPhysical Review Letters
Volume83
Issue number24
DOIs
StatePublished - 1 Jan 1999

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