dorsal/arxiv
View SchemaAdiabatic Approximation for weakly open systems
| Authors | Patrik Thunström, Johan Åberg, Erik Sjöqvist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504046 |
| URL | https://arxiv.org/abs/quant-ph/0504046 |
| DOI | 10.1103/PhysRevA.72.022328 |
| Journal | Phys. Rev. A 72, 022328 (2005) |
Abstract
We generalize the adiabatic approximation to the case of open quantum systems, in the joint limit of slow change and weak open system disturbances. We show that the approximation is ``physically reasonable'' as under wide conditions it leads to a completely positive evolution, if the original master equation can be written on a time-dependent Lindblad form. We demonstrate the approximation for a non-Abelian holonomic implementation of the Hadamard gate, disturbed by a decoherence process. We compare the resulting approximate evolution with numerical simulations of the exact equation.
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"abstract": "We generalize the adiabatic approximation to the case of open quantum\nsystems, in the joint limit of slow change and weak open system disturbances.\nWe show that the approximation is ``physically reasonable\u0027\u0027 as under wide\nconditions it leads to a completely positive evolution, if the original master\nequation can be written on a time-dependent Lindblad form. We demonstrate the\napproximation for a non-Abelian holonomic implementation of the Hadamard gate,\ndisturbed by a decoherence process. We compare the resulting approximate\nevolution with numerical simulations of the exact equation.",
"arxiv_id": "quant-ph/0504046",
"authors": [
"Patrik Thunstr\u00f6m",
"Johan \u00c5berg",
"Erik Sj\u00f6qvist"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.022328",
"journal_ref": "Phys. Rev. A 72, 022328 (2005)",
"title": "Adiabatic Approximation for weakly open systems",
"url": "https://arxiv.org/abs/quant-ph/0504046"
},
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