dorsal/arxiv
View SchemaDynamical detailed balance and local KMS condition for non-equilibrium states
| Authors | Luigi Accardi, Kentaro Imafuku |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209088 |
| URL | https://arxiv.org/abs/quant-ph/0209088 |
Abstract
The principle of detailed balance is at the basis of equilibrium physics and is equivalent to the Kubo-Martin-Schwinger (KMS) condition (under quite general assumptions). In the present paper we prove that a large class of open quantum systems satisfies a dynamical generalization of the detailed balance condition ({\it dynamical detailed balance}) expressing the fact that all the micro-currents, associated to the Bohr frequencies are constant. The usual (equilibrium) detailed balance condition is characterized by the property that this constant is identically zero. From this we deduce a simple and experimentally measurable relation expressing the microcurrent associated to a transition between two levels $\epsilon_m\to\epsilon_n$ as a linear combination of the occupation probabilities of the two levels, with coefficients given by the generalized susceptivities (transport coefficients). Finally, using a master equation characterization of the dynamical detailed balance condition, we show that this condition is equivalent to a "local" generalization of the usual KMS condition.
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"abstract": "The principle of detailed balance is at the basis of equilibrium physics and\nis equivalent to the Kubo-Martin-Schwinger (KMS) condition (under quite general\nassumptions). In the present paper we prove that a large class of open quantum\nsystems satisfies a dynamical generalization of the detailed balance condition\n({\\it dynamical detailed balance}) expressing the fact that all the\nmicro-currents, associated to the Bohr frequencies are constant. The usual\n(equilibrium) detailed balance condition is characterized by the property that\nthis constant is identically zero. From this we deduce a simple and\nexperimentally measurable relation expressing the microcurrent associated to a\ntransition between two levels $\\epsilon_m\\to\\epsilon_n$ as a linear combination\nof the occupation probabilities of the two levels, with coefficients given by\nthe generalized susceptivities (transport coefficients). Finally, using a\nmaster equation characterization of the dynamical detailed balance condition,\nwe show that this condition is equivalent to a \"local\" generalization of the\nusual KMS condition.",
"arxiv_id": "quant-ph/0209088",
"authors": [
"Luigi Accardi",
"Kentaro Imafuku"
],
"categories": [
"quant-ph"
],
"title": "Dynamical detailed balance and local KMS condition for non-equilibrium states",
"url": "https://arxiv.org/abs/quant-ph/0209088"
},
"schema_id": "dorsal/arxiv",
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