Some Evolution Formulas on the Optical Fields Propagation in Realistic Environments
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- 作者：Xue-xiang Xu ; Hong-chun Yuan
- 关键词：Beam splitter ; Reservoir ; Characteristic function ; Wigner function ; Photon number distribution
- 刊名：International Journal of Theoretical Physics
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：56
- 期：3
- 页码：791-801
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics, general; Quantum Physics; Elementary Particles, Quantum Field Theory; Theoretical, Mathematical and Computational Physics;
- 出版者：Springer US
- ISSN：1572-9575
- 卷排序：56
文摘
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.