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Decoherence, Entanglement and Information Protection in Complex Quantum Systems: Proceedings of the NATO Arw on Decoherence, Entanglement and Informat

Decoherence, Entanglement and Information Protection in Complex Quantum Systems: Proceedings of the NATO Arw on Decoherence, Entanglement and Informat

Hardcover

Series: NATO Science Series II: Mathematics, Physics and Chemistry, Book 189

Physics

ISBN10: 1402032811
ISBN13: 9781402032813
Publisher: Springer Nature
Published: Aug 10 2005
Pages: 704
Weight: 2.58
Height: 1.50 Width: 6.14 Depth: 9.21
Language: English
Dynamics of an open system interacting with theenvironment considered as a thermostate may be formulatedin terms of a master equation with an integral operator allowing for the relaxation process, [Zwanzig 1960]. In some part- ular cases this operator hasashort-lastingkernel that enables one to consider therelaxation as a Markovian process and to obtainthe master equation inthe Lindblad form, [Lindblad 1976 (a)]. In some situations the memory effects become, however, important and the dynamics of thesystem gets much more involved, [Barnett 2001]. A similar situation arises inthe case where a set of consecutive or continuous measurements is performed. The purpose of this article is to consider a situation where some simplification of the generalform of the master equation with memory isstill possibleand the result isasimpler master equation. In particular, we consider the case of a dynamic system c- pled to a measured ancilla via a nondemolition interaction, [Caves 1980]. This simplifies the consideration essentiallywhereas providing an important special case inwhich the energy of the dynamic part is conserved. We consider a composite quantum system consisting of a dynamic part - teracting with an ancillary part, the latter being subject to repeated projective measurements. The entire quantum system is assumed to evolve unitarily d- ing time ? t between the measurements. As a specific example, we analyze a harmonic oscillator coupledtoatwo-level ancillathat issubject to measu- ments.

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