dorsal/arxiv
View SchemaLindblad Evolution and Stochasticity: the Case of a Two-Level System
| Authors | D. Salgado, J. L. Sanchez-Gomez |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106151 |
| URL | https://arxiv.org/abs/quant-ph/0106151 |
Abstract
We consider the simple hypothesis of letting quantum systems have an inherent random nature. Using well-known stochastic methods we thus derive a stochastic evolution operator which let us define a stochastic density operator whose expectation value under certain conditions satisfies a Lindblad equation. As natural consequences of the former assumption decoherence and spontaneous emission processes are obtained under the same conceptual scheme. A temptative solution for the preferred basis problem is suggested. All this is illustrated with a comprehensive study of a two-level quantum system evolution.
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"abstract": "We consider the simple hypothesis of letting quantum systems have an inherent\nrandom nature. Using well-known stochastic methods we thus derive a stochastic\nevolution operator which let us define a stochastic density operator whose\nexpectation value under certain conditions satisfies a Lindblad equation. As\nnatural consequences of the former assumption decoherence and spontaneous\nemission processes are obtained under the same conceptual scheme. A temptative\nsolution for the preferred basis problem is suggested. All this is illustrated\nwith a comprehensive study of a two-level quantum system evolution.",
"arxiv_id": "quant-ph/0106151",
"authors": [
"D. Salgado",
"J. L. Sanchez-Gomez"
],
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"title": "Lindblad Evolution and Stochasticity: the Case of a Two-Level System",
"url": "https://arxiv.org/abs/quant-ph/0106151"
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