dorsal/arxiv
View SchemaAbout non-positive evolutions in open system dynamics
| Authors | F. Benatti, R. Floreanini, M. Piani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303027 |
| URL | https://arxiv.org/abs/quant-ph/0303027 |
| DOI | 10.1103/PhysRevA.67.042110 |
Abstract
The long-time evolution of a system in interaction with an external environment is usually described by a family of linear maps g_t, generated by master equations of Block-Redfield type. These maps are in general non-positive; a widely adopted cure for this physical inconsistency is to restrict the domain of definition of the dynamical maps to those states for which g_t remains positive. We show that this prescription has to be modified when two systems are immersed in the same environment and evolve with the factorized dynamics g_t x g_t starting from an entangled initial state.
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"abstract": "The long-time evolution of a system in interaction with an external\nenvironment is usually described by a family of linear maps g_t, generated by\nmaster equations of Block-Redfield type. These maps are in general\nnon-positive; a widely adopted cure for this physical inconsistency is to\nrestrict the domain of definition of the dynamical maps to those states for\nwhich g_t remains positive. We show that this prescription has to be modified\nwhen two systems are immersed in the same environment and evolve with the\nfactorized dynamics g_t x g_t starting from an entangled initial state.",
"arxiv_id": "quant-ph/0303027",
"authors": [
"F. Benatti",
"R. Floreanini",
"M. Piani"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.042110",
"title": "About non-positive evolutions in open system dynamics",
"url": "https://arxiv.org/abs/quant-ph/0303027"
},
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