dorsal/arxiv
View SchemaQuantum trajectories for Brownian motion
| Authors | Walter T. Strunz, Lajos Diosi, Nicolas Gisin, Ting Yu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907100 |
| URL | https://arxiv.org/abs/quant-ph/9907100 |
| DOI | 10.1103/PhysRevLett.83.4909 |
| Journal | Phys. Rev. Lett. 83, 4909 (1999) |
Abstract
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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"abstract": "We present the stochastic Schroedinger equation for the dynamics of a quantum\nparticle coupled to a high temperature environment and apply it the dynamics of\na driven, damped, nonlinear quantum oscillator. Apart from an initial slip on\nthe environmental memory time scale, in the mean, our result recovers the\nsolution of the known non-Lindblad quantum Brownian motion master equation. A\nremarkable feature of our approach is its localization property: individual\nquantum trajectories remain localized wave packets for all times, even for the\nclassically chaotic system considered here, the localization being stronger the\nsmaller $\\hbar$.",
"arxiv_id": "quant-ph/9907100",
"authors": [
"Walter T. Strunz",
"Lajos Diosi",
"Nicolas Gisin",
"Ting Yu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.83.4909",
"journal_ref": "Phys. Rev. Lett. 83, 4909 (1999)",
"title": "Quantum trajectories for Brownian motion",
"url": "https://arxiv.org/abs/quant-ph/9907100"
},
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