中国物理B ›› 2011, Vol. 20 ›› Issue (2): 24203-024203.doi: 10.1088/1674-1056/20/2/024203

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Decoherence of photon-subtracted squeezed vacuum state in dissipative channel

徐学翔1, 袁洪春2, 范洪义2   

  1. (1)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; (2)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • 收稿日期:2010-03-07 修回日期:2010-07-09 出版日期:2011-02-15 发布日期:2011-02-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10775097), the Key Program Foundation of the Ministry of Education of China (Grant No. 210115) and the Research Foundation of the Education Department of Jiangxi Province of China (Grant No. GJJ10097).

Decoherence of photon-subtracted squeezed vacuum state in dissipative channel

Xu Xue-Xiang(徐学翔)a)b), Yuan Hong-Chun(袁洪春) b)†, and Fan Hong-Yi(范洪义)b)   

  1. a College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; b Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • Received:2010-03-07 Revised:2010-07-09 Online:2011-02-15 Published:2011-02-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10775097), the Key Program Foundation of the Ministry of Education of China (Grant No. 210115) and the Research Foundation of the Education Department of Jiangxi Province of China (Grant No. GJJ10097).

摘要: This paper investigates the decoherence of photo-subtracted squeezed vacuum state (PSSVS) in dissipative channel by describing its statistical properties with time evolution such as Wigner function, Husimi function, and tomogram. It first calculates the normalization factor of PSSVS related to Legendre polynomial. After deriving the normally ordered density operator of PSSVS in dissipative channel, one obtains the explicit analytical expressions of time evolution of PSSVS's statistical distribution function. It finds that these statistical distributions loss their non-Gaussian nature and become Gaussian at last in the dissipative environment as expected.

关键词: photon-subtracted squeezed vacuum state, Wigner function, Husimi function, tomogram

Abstract: This paper investigates the decoherence of photo-subtracted squeezed vacuum state (PSSVS) in dissipative channel by describing its statistical properties with time evolution such as Wigner function, Husimi function, and tomogram. It first calculates the normalization factor of PSSVS related to Legendre polynomial. After deriving the normally ordered density operator of PSSVS in dissipative channel, one obtains the explicit analytical expressions of time evolution of PSSVS's statistical distribution function. It finds that these statistical distributions loss their non-Gaussian nature and become Gaussian at last in the dissipative environment as expected.

Key words: photon-subtracted squeezed vacuum state, Wigner function, Husimi function, tomogram

中图分类号:  (Quantum optics)

  • 42.50.-p
03.65.-w (Quantum mechanics)