dorsal/arxiv
View SchemaQuantum stochastic equation for the low density limit
| Authors | L. Accardi, A. N. Pechen, I. V. Volovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108112 |
| URL | https://arxiv.org/abs/quant-ph/0108112 |
| DOI | 10.1088/0305-4470/35/23/306 |
| Journal | J. Phys. A: Math. Gen. 35 (2002) 4889-4902 |
Abstract
A new derivation of quantum stochastic differential equation for the evolution operator in the low density limit is presented. We use the distribution approach and derive a new algebra for quadratic master fields in the low density limit by using the energy representation. We formulate the stochastic golden rule in the low density limit case for a system coupling with Bose field via quadratic interaction. In particular the vacuum expectation value of the evolution operator is computed and its exponential decay is shown.
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"abstract": "A new derivation of quantum stochastic differential equation for the\nevolution operator in the low density limit is presented. We use the\ndistribution approach and derive a new algebra for quadratic master fields in\nthe low density limit by using the energy representation. We formulate the\nstochastic golden rule in the low density limit case for a system coupling with\nBose field via quadratic interaction. In particular the vacuum expectation\nvalue of the evolution operator is computed and its exponential decay is shown.",
"arxiv_id": "quant-ph/0108112",
"authors": [
"L. Accardi",
"A. N. Pechen",
"I. V. Volovich"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"math.QA"
],
"doi": "10.1088/0305-4470/35/23/306",
"journal_ref": "J. Phys. A: Math. Gen. 35 (2002) 4889-4902",
"title": "Quantum stochastic equation for the low density limit",
"url": "https://arxiv.org/abs/quant-ph/0108112"
},
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