dorsal/arxiv
View SchemaThe non-Markovian quantum behavior of open systems: An exact Monte Carlo method employing stochastic product states
| Authors | Heinz-Peter Breuer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309114 |
| URL | https://arxiv.org/abs/quant-ph/0309114 |
| DOI | 10.1140/epjd/e2004-00010-x |
| Journal | Eur. Phys. J. D 29, 105-118 (2004) |
Abstract
It is shown that the exact dynamics of a composite quantum system can be represented through a pair of product states which evolve according to a Markovian random jump process. This representation is used to design a general Monte Carlo wave function method that enables the stochastic treatment of the full non-Markovian behavior of open quantum systems. Numerical simulations are carried out which demonstrate that the method is applicable to open systems strongly coupled to a bosonic reservoir, as well as to the interaction with a spin bath. Full details of the simulation algorithms are given, together with an investigation of the dynamics of fluctuations. Several potential generalizations of the method are outlined.
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"abstract": "It is shown that the exact dynamics of a composite quantum system can be\nrepresented through a pair of product states which evolve according to a\nMarkovian random jump process. This representation is used to design a general\nMonte Carlo wave function method that enables the stochastic treatment of the\nfull non-Markovian behavior of open quantum systems. Numerical simulations are\ncarried out which demonstrate that the method is applicable to open systems\nstrongly coupled to a bosonic reservoir, as well as to the interaction with a\nspin bath. Full details of the simulation algorithms are given, together with\nan investigation of the dynamics of fluctuations. Several potential\ngeneralizations of the method are outlined.",
"arxiv_id": "quant-ph/0309114",
"authors": [
"Heinz-Peter Breuer"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2004-00010-x",
"journal_ref": "Eur. Phys. J. D 29, 105-118 (2004)",
"title": "The non-Markovian quantum behavior of open systems: An exact Monte Carlo method employing stochastic product states",
"url": "https://arxiv.org/abs/quant-ph/0309114"
},
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