dorsal/arxiv
View SchemaCompletely positive maps with memory
| Authors | Sonja Daffer, Krzysztof Wodkiewicz, James D. Cresser, John K. McIver |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309081 |
| URL | https://arxiv.org/abs/quant-ph/0309081 |
| DOI | 10.1103/PhysRevA.70.010304 |
| Journal | Phys. Rev. A 70, 010304 (2004) |
Abstract
The prevailing description for dissipative quantum dynamics is given by the Lindblad form of a Markovian master equation, used under the assumption that memory effects are negligible. However, in certain physical situations, the master equation is essentially of a non-Markovian nature. This paper examines master equations that possess a memory kernel, leading to a replacement of white noise by colored noise. The conditions under which this leads to a completely positive, trace-preserving map are discussed for an exponential memory kernel. A physical model that possesses such an exponential memory kernel is presented. This model contains a classical, fluctuating environment based on random telegraph signal stochastic variables.
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"abstract": "The prevailing description for dissipative quantum dynamics is given by the\nLindblad form of a Markovian master equation, used under the assumption that\nmemory effects are negligible. However, in certain physical situations, the\nmaster equation is essentially of a non-Markovian nature. This paper examines\nmaster equations that possess a memory kernel, leading to a replacement of\nwhite noise by colored noise. The conditions under which this leads to a\ncompletely positive, trace-preserving map are discussed for an exponential\nmemory kernel. A physical model that possesses such an exponential memory\nkernel is presented. This model contains a classical, fluctuating environment\nbased on random telegraph signal stochastic variables.",
"arxiv_id": "quant-ph/0309081",
"authors": [
"Sonja Daffer",
"Krzysztof Wodkiewicz",
"James D. Cresser",
"John K. McIver"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.010304",
"journal_ref": "Phys. Rev. A 70, 010304 (2004)",
"title": "Completely positive maps with memory",
"url": "https://arxiv.org/abs/quant-ph/0309081"
},
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