dorsal/arxiv
View SchemaExact positivity of the Wigner and P-functions of a Markovian open system
| Authors | Lajos Diosi, Claus Kiefer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111139 |
| URL | https://arxiv.org/abs/quant-ph/0111139 |
| DOI | 10.1088/0305-4470/35/11/312 |
| Journal | J.Phys.A35:2675-2684,2002 |
Abstract
We discuss the case of a Markovian master equation for an open system, as it is frequently found from environmental decoherence. We prove two theorems for the evolution of the quantum state. The first one states that for a generic initial state the corresponding Wigner function becomes strictly positive after a finite time has elapsed. The second one states that also the P-function becomes exactly positive after a decoherence time of the same order. Therefore the density matrix becomes exactly decomposable into a mixture of Gaussian pointer states.
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"abstract": "We discuss the case of a Markovian master equation for an open system, as it\nis frequently found from environmental decoherence. We prove two theorems for\nthe evolution of the quantum state. The first one states that for a generic\ninitial state the corresponding Wigner function becomes strictly positive after\na finite time has elapsed. The second one states that also the P-function\nbecomes exactly positive after a decoherence time of the same order. Therefore\nthe density matrix becomes exactly decomposable into a mixture of Gaussian\npointer states.",
"arxiv_id": "quant-ph/0111139",
"authors": [
"Lajos Diosi",
"Claus Kiefer"
],
"categories": [
"quant-ph",
"gr-qc"
],
"doi": "10.1088/0305-4470/35/11/312",
"journal_ref": "J.Phys.A35:2675-2684,2002",
"title": "Exact positivity of the Wigner and P-functions of a Markovian open system",
"url": "https://arxiv.org/abs/quant-ph/0111139"
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