dorsal/arxiv
View SchemaMean field master equation for self-interacting baths II: extension to time-dependent subsystem Hamiltonians
| Authors | Joshua Wilkie, Murat Cetinbas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306089 |
| URL | https://arxiv.org/abs/quant-ph/0306089 |
Abstract
A mean field argument is used to derive a master equation for systems simultaneously interacting with external fields and coupled environmental degrees of freedom. We prove that this master equation preserves positivity of the reduced density matrix. Solutions of the master equation are compared with exact solutions for a system consisting of three spins which is manipulated with a sequence of laser pulses while interacting with a spin-bath. Exact solutions appear to converge to the master equation result as the number of bath spins increases.
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"abstract": "A mean field argument is used to derive a master equation for systems\nsimultaneously interacting with external fields and coupled environmental\ndegrees of freedom. We prove that this master equation preserves positivity of\nthe reduced density matrix. Solutions of the master equation are compared with\nexact solutions for a system consisting of three spins which is manipulated\nwith a sequence of laser pulses while interacting with a spin-bath. Exact\nsolutions appear to converge to the master equation result as the number of\nbath spins increases.",
"arxiv_id": "quant-ph/0306089",
"authors": [
"Joshua Wilkie",
"Murat Cetinbas"
],
"categories": [
"quant-ph"
],
"title": "Mean field master equation for self-interacting baths II: extension to time-dependent subsystem Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0306089"
},
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