dorsal/arxiv
View SchemaStochastic wave function method for non-Markovian quantum master equations
| Authors | H. P. Breuer, B. Kappler, F. Petruccione |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906024 |
| URL | https://arxiv.org/abs/quant-ph/9906024 |
| DOI | 10.1103/PhysRevA.59.1633 |
| Journal | Phys.Rev. A59 (1999) 1633-1643 |
Abstract
A generalization of the stochastic wave function method to quantum master equations which are not in Lindblad form is developed. The proposed stochastic unravelling is based on a description of the reduced system in a doubled Hilbert space and it is shown, that this method is capable of simulating quantum master equations with negative transition rates. Non-Markovian effects in the reduced systems dynamics can be treated within this approach by employing the time-convolutionless projection operator technique. This ansatz yields a systematic perturbative expansion of the reduced systems dynamics in the coupling strength. Several examples such as the damped Jaynes Cummings model and the spontaneous decay of a two-level system into a photonic band gap are discussed. The power as well as the limitations of the method are demonstrated.
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"abstract": "A generalization of the stochastic wave function method to quantum master\nequations which are not in Lindblad form is developed. The proposed stochastic\nunravelling is based on a description of the reduced system in a doubled\nHilbert space and it is shown, that this method is capable of simulating\nquantum master equations with negative transition rates. Non-Markovian effects\nin the reduced systems dynamics can be treated within this approach by\nemploying the time-convolutionless projection operator technique. This ansatz\nyields a systematic perturbative expansion of the reduced systems dynamics in\nthe coupling strength. Several examples such as the damped Jaynes Cummings\nmodel and the spontaneous decay of a two-level system into a photonic band gap\nare discussed. The power as well as the limitations of the method are\ndemonstrated.",
"arxiv_id": "quant-ph/9906024",
"authors": [
"H. P. Breuer",
"B. Kappler",
"F. Petruccione"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.59.1633",
"journal_ref": "Phys.Rev. A59 (1999) 1633-1643",
"title": "Stochastic wave function method for non-Markovian quantum master equations",
"url": "https://arxiv.org/abs/quant-ph/9906024"
},
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