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The Theory of Open Quantum Systems$
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Heinz-Peter Breuer and Francesco Petruccione

Print publication date: 2007

Print ISBN-13: 9780199213900

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199213900.001.0001

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Applications to Quantum Optical Systems

Applications to Quantum Optical Systems

The Theory of Open Quantum Systems

Heinz-Peter Breuer

Francesco Petruccione

Oxford University Press

This chapter deals with a presentation of continuous measurement theory on the basis of the microscopic equations of quantum electrodynamics. The emphasis lies on the derivation of the quantum operations and the corresponding stochastic processes for various detection schemes directly from the Hamiltonian, which describes the interaction of the matter degrees of freedom with the quantized electromagnetic field. The chapter treats many examples and applications to atomic physics and quantum optics, such as dark state resonances and laser cooling of atoms. This example illustrates the interplay between incoherent processes and quantum interference effects which leads to the emergence of Lévy-type distributions for the atomic waiting time. Finally, dissipative phenomena in the dynamics of open quantum systems in strong driving fields are studied, for which appropriate master equations and stochastic wave function methods can be derived by employing a representation in terms of Floquet states.

Keywords:   continuous measurements, quantum electrodynamics, multipole radiation, quantum operations, piecewise deterministic processes, dark state resonances, laser cooling, Lévy processes, Floquet states, dressed states

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