Quantum Dynamical Semigroups and Decoherence

Mario Hellmich

Advances in Mathematical Physics, 2011, vol. 2011, 1-16

Abstract:

We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak * continuous one-parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003). We discuss this notion in some detail.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:625978

DOI: 10.1155/2011/625978

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