Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state

doi:10.1088/1674-1056/22/3/030311

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30311-030311.doi: 10.1088/1674-1056/22/3/030311

Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state

徐莉娟, 谭国斌, 马善钧, 郭琴

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

收稿日期:2012-04-20 修回日期:2012-09-07 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11047133), and the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20114BAB202004 and 2009GZW0006), and the Research Foundation of the Education Department of Jiangxi Province, China (Grant No. GJJ11390).

Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state

Xu Li-Juan (徐莉娟), Tan Guo-Bin (谭国斌), Ma Shan-Jun (马善钧), Guo Qin (郭琴)

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

Received:2012-04-20 Revised:2012-09-07 Online:2013-02-01 Published:2013-02-01
Contact: Ma Shan-Jun E-mail:shanjunma@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11047133), and the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20114BAB202004 and 2009GZW0006), and the Research Foundation of the Education Department of Jiangxi Province, China (Grant No. GJJ11390).

摘要/Abstract

摘要： The statistical properties of m-coherent superposition operation (μa+νa⁺)^m on the single-mode squeezed vacuum state (M-SSVS) and its decoherence in a thermal environment have been studied. Converting the M-SSVS to a squeezed Hermite polynomial excitation state, we obtain a compact expression for the normalization factor of M-SSVS, which is the Legendre polynomial of the squeezing parameter. We also derive the explicit expression of Wigner function (WF) of M-SSVS, and find the negative region of WF in phase space. The decoherence effect on this state is then discussed by deriving the time evolution of the WF. Using the negativity of WF, the loss of nonclassicality has been discussed.

关键词: nonclassicality, decoherence, coherent superposition of photon subtraction and addition, Wigner function

Abstract: The statistical properties of m-coherent superposition operation (μa+νa⁺)^m on the single-mode squeezed vacuum state (M-SSVS) and its decoherence in a thermal environment have been studied. Converting the M-SSVS to a squeezed Hermite polynomial excitation state, we obtain a compact expression for the normalization factor of M-SSVS, which is the Legendre polynomial of the squeezing parameter. We also derive the explicit expression of Wigner function (WF) of M-SSVS, and find the negative region of WF in phase space. The decoherence effect on this state is then discussed by deriving the time evolution of the WF. Using the negativity of WF, the loss of nonclassicality has been discussed.

Key words: nonclassicality, decoherence, coherent superposition of photon subtraction and addition, Wigner function

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

05.30.-d (Quantum statistical mechanics)

徐莉娟, 谭国斌, 马善钧, 郭琴. Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state[J]. 中国物理B, 2013, 22(3): 30311-030311.

Xu Li-Juan (徐莉娟), Tan Guo-Bin (谭国斌), Ma Shan-Jun (马善钧), Guo Qin (郭琴). Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state[J]. Chin. Phys. B, 2013, 22(3): 30311-030311.

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Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state

Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state

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