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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. (Paperback, 2005 ed.)
Vladimir M. Akulin, A. Sarfati, G. Kurizki, S. Pellegrin
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R4,923
Discovery Miles 49 230
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Ships in 10 - 15 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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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.)
Vladimir M. Akulin, A. Sarfati, G. Kurizki, S. Pellegrin
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R5,010
Discovery Miles 50 100
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Ships in 10 - 15 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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