dorsal/arxiv
View SchemaOpen system dynamics with non-Markovian quantum trajectories
| Authors | Walter T Strunz, Lajos Diosi, Nicolas Gisin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803079 |
| URL | https://arxiv.org/abs/quant-ph/9803079 |
| DOI | 10.1103/PhysRevLett.82.1801 |
| Journal | Phys.Rev.Lett. 82 (1999) 1801-1805 |
Abstract
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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"abstract": "A non-Markovian stochastic Schroedinger equation for a quantum system coupled\nto an environment of harmonic oscillators is presented. Its solutions, when\naveraged over the noise, reproduce the standard reduced density operator\nwithout any approximation. We illustrate the power of this approach with\nseveral examples, including exponentially decaying bath correlations and\nextreme non-Markovian cases, where the `environment\u0027 consists of only a single\noscillator. The latter case shows the decay and revival of a `Schroedinger cat\u0027\nstate. For strong coupling to a dissipative environment with memory, the\nasymptotic state can be reached in a finite time. Our description of open\nsystems is compatible with different positions of the `Heisenberg cut\u0027 between\nsystem and environment.",
"arxiv_id": "quant-ph/9803079",
"authors": [
"Walter T Strunz",
"Lajos Diosi",
"Nicolas Gisin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.82.1801",
"journal_ref": "Phys.Rev.Lett. 82 (1999) 1801-1805",
"title": "Open system dynamics with non-Markovian quantum trajectories",
"url": "https://arxiv.org/abs/quant-ph/9803079"
},
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