dorsal/arxiv
View SchemaQuantum regression theorem for non-Markovian Lindblad equations
| Authors | Adrian A. Budini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601140 |
| URL | https://arxiv.org/abs/quant-ph/0601140 |
| DOI | 10.1007/s10955-007-9476-9 |
| Journal | J. Stat. Phys. 131, 51 (2008) |
Abstract
We find the conditions under which a quantum regression theorem can be assumed valid for non-Markovian master equations consisting in Lindblad superoperators with memory kernels. Our considerations are based on a generalized Born-Markov approximation, which allows us to obtain our results from an underlying Hamiltonian description. We demonstrate that a non-Markovian quantum regression theorem can only be granted in a stationary regime if the dynamics satisfies a quantum detailed balance condition. As an example we study the correlations of a two level system embedded in a complex structured reservoir and driven by an external coherent field.
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"abstract": "We find the conditions under which a quantum regression theorem can be\nassumed valid for non-Markovian master equations consisting in Lindblad\nsuperoperators with memory kernels. Our considerations are based on a\ngeneralized Born-Markov approximation, which allows us to obtain our results\nfrom an underlying Hamiltonian description. We demonstrate that a non-Markovian\nquantum regression theorem can only be granted in a stationary regime if the\ndynamics satisfies a quantum detailed balance condition. As an example we study\nthe correlations of a two level system embedded in a complex structured\nreservoir and driven by an external coherent field.",
"arxiv_id": "quant-ph/0601140",
"authors": [
"Adrian A. Budini"
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"categories": [
"quant-ph"
],
"doi": "10.1007/s10955-007-9476-9",
"journal_ref": "J. Stat. Phys. 131, 51 (2008)",
"title": "Quantum regression theorem for non-Markovian Lindblad equations",
"url": "https://arxiv.org/abs/quant-ph/0601140"
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