dorsal/arxiv
View SchemaTime-local master equations: influence functional and cumulant expansion
| Authors | Heinz-Peter Breuer, Andrea Ma, Francesco Petruccione |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209153 |
| URL | https://arxiv.org/abs/quant-ph/0209153 |
Abstract
The non-Markovian behaviour of open quantum systems interacting with a reservoir can often be described in terms of a time-local master equation involving a time-dependent generator which is not in Lindblad form. A systematic perturbation expansion of the generator is obtained either by means of van Kampen's method of ordered cumulants or else by use of the Feynman-Vernon influence functional technique. Both expansions are demonstrated to yield equivalent expressions for the generator in all orders of the system-reservor coupling. Explicit formulae are derived for the second and the fourth order generator in terms of the influence functional.
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"abstract": "The non-Markovian behaviour of open quantum systems interacting with a\nreservoir can often be described in terms of a time-local master equation\ninvolving a time-dependent generator which is not in Lindblad form. A\nsystematic perturbation expansion of the generator is obtained either by means\nof van Kampen\u0027s method of ordered cumulants or else by use of the\nFeynman-Vernon influence functional technique. Both expansions are demonstrated\nto yield equivalent expressions for the generator in all orders of the\nsystem-reservor coupling. Explicit formulae are derived for the second and the\nfourth order generator in terms of the influence functional.",
"arxiv_id": "quant-ph/0209153",
"authors": [
"Heinz-Peter Breuer",
"Andrea Ma",
"Francesco Petruccione"
],
"categories": [
"quant-ph"
],
"title": "Time-local master equations: influence functional and cumulant expansion",
"url": "https://arxiv.org/abs/quant-ph/0209153"
},
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"variant": "snapshot-2026-03-01",
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