dorsal/arxiv
View SchemaModeling heat transport through completely positive maps
| Authors | Hannu Wichterich, Markus J. Henrich, Heinz-Peter Breuer, Jochen Gemmer, Mathias Michel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703048 |
| URL | https://arxiv.org/abs/quant-ph/0703048 |
| DOI | 10.1103/PhysRevE.76.031115 |
| Journal | Phys. Rev. E 76, 031115 (2007) |
Abstract
We investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally to independent thermal baths of different temperature. The analysis is carried out within the framework of the theory of open systems by means of appropriate quantum master equations. The standard microscopic derivation of the weak-coupling Lindblad equation in the secular approximation is considered, and shown to be inadequate for the description of stationary nonequilibrium properties like a non-vanishing energy current. Furthermore, we derive an alternative master equation that is capable to describe a stationary energy current and, at the same time, leads to a completely positive dynamical map. This paves the way for efficient numerical investigations of heat transport in larger systems based on Monte Carlo wave function techniques.
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"abstract": "We investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally\nto independent thermal baths of different temperature. The analysis is carried\nout within the framework of the theory of open systems by means of appropriate\nquantum master equations. The standard microscopic derivation of the\nweak-coupling Lindblad equation in the secular approximation is considered, and\nshown to be inadequate for the description of stationary nonequilibrium\nproperties like a non-vanishing energy current. Furthermore, we derive an\nalternative master equation that is capable to describe a stationary energy\ncurrent and, at the same time, leads to a completely positive dynamical map.\nThis paves the way for efficient numerical investigations of heat transport in\nlarger systems based on Monte Carlo wave function techniques.",
"arxiv_id": "quant-ph/0703048",
"authors": [
"Hannu Wichterich",
"Markus J. Henrich",
"Heinz-Peter Breuer",
"Jochen Gemmer",
"Mathias Michel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.76.031115",
"journal_ref": "Phys. Rev. E 76, 031115 (2007)",
"title": "Modeling heat transport through completely positive maps",
"url": "https://arxiv.org/abs/quant-ph/0703048"
},
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