dorsal/arxiv
View SchemaThermalisation of Quantum States
| Authors | D. C. Brody, L. P. Hughston |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9711057 |
| URL | https://arxiv.org/abs/quant-ph/9711057 |
| DOI | 10.1063/1.532757 |
| Journal | J.Math.Phys. 40 (1999) 12-18 |
Abstract
An exact stochastic model for the thermalisation of quantum states is proposed. The model has various physically appealing properties. The dynamics are characterised by an underlying Schrodinger evolution, together with a nonlinear term driving the system towards an asymptotic equilibrium state and a stochastic term reflecting fluctuations. There are two free parameters, one of which can be identified with the heat bath temperature, while the other determines the characteristic time scale for thermalisation. Exact expressions are derived for the evolutionary dynamics of the system energy, the system entropy, and the associated density operator.
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"abstract": "An exact stochastic model for the thermalisation of quantum states is\nproposed. The model has various physically appealing properties. The dynamics\nare characterised by an underlying Schrodinger evolution, together with a\nnonlinear term driving the system towards an asymptotic equilibrium state and a\nstochastic term reflecting fluctuations. There are two free parameters, one of\nwhich can be identified with the heat bath temperature, while the other\ndetermines the characteristic time scale for thermalisation. Exact expressions\nare derived for the evolutionary dynamics of the system energy, the system\nentropy, and the associated density operator.",
"arxiv_id": "quant-ph/9711057",
"authors": [
"D. C. Brody",
"L. P. Hughston"
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"quant-ph"
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"doi": "10.1063/1.532757",
"journal_ref": "J.Math.Phys. 40 (1999) 12-18",
"title": "Thermalisation of Quantum States",
"url": "https://arxiv.org/abs/quant-ph/9711057"
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