Some Evolution Formulas on the Optical Fields Propagation in Realistic Environments

Evolution formulas of the density operator, the photon number distribution, and the Wigner function are derived for the problem on the optical fields propagation in realistic environments. Using the idea “reservoir modeled by beam splitter (BS)” and the Weyl expansion of the density operator, we obt...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 56; no. 3; pp. 791 - 801
Main Authors Xu, Xue-xiang, Yuan, Hong-chun
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2017
Springer Nature B.V
Subjects
Elementary Particles
Evolution
Mathematical and Computational Physics
Operators (mathematics)
Physics
Physics and Astronomy
Propagation
Quantum Field Theory
Quantum optics
Quantum Physics
Quantum statistics
Theoretical
Characteristic function
Reservoir
Wigner function
Beam splitter
Photon number distribution
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Summary:Evolution formulas of the density operator, the photon number distribution, and the Wigner function are derived for the problem on the optical fields propagation in realistic environments. Using the idea “reservoir modeled by beam splitter (BS)” and the Weyl expansion of the density operator, we obtain these formulas cleverly, which are very useful for quantum optics and quantum statistics. As an application, we study the time evolution of the photon number distribution and the Wigner function for single-photon-added coherent state in thermal environment.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-016-3221-6