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Decoherence, Entanglement and Information Protection in Complex Quantum Systems - Proceedings of the NATO ARW on Decoherence, Entanglement and Information Protection in Complex Quantum Systems, Les Houches, France, from 26 to 30 April 2004. (Hardcover, 2005 ed.)
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Decoherence, Entanglement and Information Protection in Complex Quantum Systems - Proceedings of the NATO ARW on Decoherence, Entanglement and Information Protection in Complex Quantum Systems, Les Houches, France, from 26 to 30 April 2004. (Hardcover, 2005 ed.)
Series: NATO Science Series II: Mathematics, Physics and Chemistry, 189
Expected to ship within 12 - 19 working days
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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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