dorsal/arxiv
View SchemaLimits in the characteristic function description of non-Lindblad-type open quantum systems
| Authors | Sabrina Maniscalco |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503125 |
| URL | https://arxiv.org/abs/quant-ph/0503125 |
| DOI | 10.1103/PhysRevA.72.024103 |
| Journal | Phys. Rev. A 72, 024103 (2005) |
Abstract
In this paper I investigate the usability of the characteristic functions for the description of the dynamics of open quantum systems focussing on non-Lindblad-type master equations. I consider, as an example, a non-Markovian generalized master equation containing a memory kernel which may lead to nonphysical time evolutions characterized by negative values of the density matrix diagonal elements [S.M. Barnett and S. Stenholm, Phys. Rev. A {\bf 64}, 033808 (2001)]. The main result of the paper is to demonstrate that there exist situations in which the symmetrically ordered characteristic function is perfectly well defined while the corresponding density matrix loses positivity. Therefore nonphysical situations may not show up in the characteristic function. As a consequence, the characteristic function cannot be considered an {\it alternative complete} description of the non-Lindblad dynamics.
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"abstract": "In this paper I investigate the usability of the characteristic functions for\nthe description of the dynamics of open quantum systems focussing on\nnon-Lindblad-type master equations. I consider, as an example, a non-Markovian\ngeneralized master equation containing a memory kernel which may lead to\nnonphysical time evolutions characterized by negative values of the density\nmatrix diagonal elements [S.M. Barnett and S. Stenholm, Phys. Rev. A {\\bf 64},\n033808 (2001)]. The main result of the paper is to demonstrate that there exist\nsituations in which the symmetrically ordered characteristic function is\nperfectly well defined while the corresponding density matrix loses positivity.\nTherefore nonphysical situations may not show up in the characteristic\nfunction. As a consequence, the characteristic function cannot be considered an\n{\\it alternative complete} description of the non-Lindblad dynamics.",
"arxiv_id": "quant-ph/0503125",
"authors": [
"Sabrina Maniscalco"
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"doi": "10.1103/PhysRevA.72.024103",
"journal_ref": "Phys. Rev. A 72, 024103 (2005)",
"title": "Limits in the characteristic function description of non-Lindblad-type open quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0503125"
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