dorsal/arxiv
View SchemaWigner Distribution Function Approach to Dissipative Problems in Quantum Mechanics with emphasis on Decoherence and Measurement Theory
| Authors | R. F. O'Connell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311084 |
| URL | https://arxiv.org/abs/quant-ph/0311084 |
| DOI | 10.1088/1464-4266/5/3/369 |
| Journal | J.Optics B 5, S349(2003) |
Abstract
We first review the usefulness of the Wigner distribution functions (WDF), associated with Lindblad and pre-master equations, for analyzing a host of problems in Quantum Optics where dissipation plays a major role, an arena where weak coupling and long-time approximations are valid. However, we also show their limitations for the discussion of decoherence, which is generally a short-time phenomenon with decay rates typically much smaller than typical dissipative decay rates. We discuss two approaches to the problem both of which use a quantum Langevin equation (QLE) as a starting-point: (a) use of a reduced WDF but in the context of an exact master equation (b) use of a WDF for the complete system corresponding to entanglement at all times.
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"abstract": "We first review the usefulness of the Wigner distribution functions (WDF),\nassociated with Lindblad and pre-master equations, for analyzing a host of\nproblems in Quantum Optics where dissipation plays a major role, an arena where\nweak coupling and long-time approximations are valid. However, we also show\ntheir limitations for the discussion of decoherence, which is generally a\nshort-time phenomenon with decay rates typically much smaller than typical\ndissipative decay rates. We discuss two approaches to the problem both of which\nuse a quantum Langevin equation (QLE) as a starting-point: (a) use of a reduced\nWDF but in the context of an exact master equation (b) use of a WDF for the\ncomplete system corresponding to entanglement at all times.",
"arxiv_id": "quant-ph/0311084",
"authors": [
"R. F. O\u0027Connell"
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"doi": "10.1088/1464-4266/5/3/369",
"journal_ref": "J.Optics B 5, S349(2003)",
"title": "Wigner Distribution Function Approach to Dissipative Problems in Quantum Mechanics with emphasis on Decoherence and Measurement Theory",
"url": "https://arxiv.org/abs/quant-ph/0311084"
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