中国物理B ›› 2012, Vol. 21 ›› Issue (6): 64207-064207.doi: 10.1088/1674-1056/21/6/064207

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Photon-number distribution of two-mode squeezed thermal states by entangled state representation

胡利云a b, 王帅c, 张智明b   

  1. a. College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
    b. Laboratory of Nanophotonic Functional Materials and Devices, SIPSE & LQIT,South China Normal University, Guangzhou 510006, China;
    c. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • 收稿日期:2011-11-01 修回日期:2011-12-14 出版日期:2012-05-01 发布日期:2012-05-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11047133, 60978009, and 10774088), the Major Research Plan of the National Natural Science Foundation of China (Grant No. 91121023), the ''973" Project (Grant No. 2011CBA00200), and the Natural Science Foundation of Jiangxi Province of China (No. 2010GQW0027), and the Sponsored Program for Cultivating Youths of Outstanding Ability in Jiangxi Normal University.

Photon-number distribution of two-mode squeezed thermal states by entangled state representation

Hu Li-Yun(胡利云)a)b)†, Wang Shuai(王帅)c), and Zhang Zhi-Ming(张智明) b)‡ger   

  1. a. College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
    b. Laboratory of Nanophotonic Functional Materials and Devices, SIPSE & LQIT,South China Normal University, Guangzhou 510006, China;
    c. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • Received:2011-11-01 Revised:2011-12-14 Online:2012-05-01 Published:2012-05-01
  • Contact: Hu Li-Yun, Zhang Zhi-Ming E-mail:hlyun2008@126.com; zmzhang@scnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11047133, 60978009, and 10774088), the Major Research Plan of the National Natural Science Foundation of China (Grant No. 91121023), the ''973" Project (Grant No. 2011CBA00200), and the Natural Science Foundation of Jiangxi Province of China (No. 2010GQW0027), and the Sponsored Program for Cultivating Youths of Outstanding Ability in Jiangxi Normal University.

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摘要： Using the entangled state representation, we convert a two-mode squeezed number state to a Hermite polynomial excited squeezed vacuum state. We first analytically derive the photon number distribution of the two-mode squeezed thermal states. It is found that it is a Jacobi polynomial; a remarkable result. This result can be directly applied to obtaining the photon number distribution of non-Gaussian states generated by subtracting from (adding to) two-mode squeezed thermal states.

关键词: entangled state representation, Hermite polynomial excited state, squeezed thermal states, photon-number distribution

Abstract: Using the entangled state representation, we convert a two-mode squeezed number state to a Hermite polynomial excited squeezed vacuum state. We first analytically derive the photon number distribution of the two-mode squeezed thermal states. It is found that it is a Jacobi polynomial; a remarkable result. This result can be directly applied to obtaining the photon number distribution of non-Gaussian states generated by subtracting from (adding to) two-mode squeezed thermal states.

Key words: entangled state representation, Hermite polynomial excited state, squeezed thermal states, photon-number distribution

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
03.65.Wj (State reconstruction, quantum tomography) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)