Analyzing Density Operator in Thermal State for Complicated Time-Dependent Optical Systems

Density operator of oscillatory optical systems with time-dependent parameters is analyzed. In this case, a system is described by a time-dependent Hamiltonian. Invariant operator theory is introduced in order to describe time-varying behavior of the system. Due to the time dependence of parameters,...

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Bibliographic Details
Published in:Advances in Optics 2014-07, Vol.2014 (2014), p.1-6
Main Authors: Choi, Jeong Ryeol, Choi, Yeontaek, Song, Ji Nny
Format: Article
Language:English
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Summary:Density operator of oscillatory optical systems with time-dependent parameters is analyzed. In this case, a system is described by a time-dependent Hamiltonian. Invariant operator theory is introduced in order to describe time-varying behavior of the system. Due to the time dependence of parameters, the frequency of oscillation, so-called a modified frequency of the system, is somewhat different from the natural frequency. In general, density operator of a time-dependent optical system is represented in terms of the modified frequency. We showed how to determine density operator of complicated time-dependent optical systems in thermal state. Usually, density operator description of quantum states is more general than the one described in terms of the state vector.
ISSN:2356-6817
2314-7741
DOI:10.1155/2014/141076