Lindblad Evolution and Stochasticity: the Case of a Two-Level System

Details Lindblad Evolution and Stochasticity: the Case of a Two-Level System Lindblad Evolution and Stochasticity: the Case of a Two-Level System

2001-06-26

arxiv.org/abs/quant-ph/0106151v1

Physics

Quantum Physics

LaTeX2e, 26 pages, 3 eps figures

Scientific paper

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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