Generalized photon-added coherent state and its quantum statistical properties

doi:10.1088/1674-1056/19/10/104205

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 104205-104205.doi: 10.1088/1674-1056/19/10/104205

Generalized photon-added coherent state and its quantum statistical properties

袁洪春¹, 范洪义¹, 徐学翔²

(1)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; (2)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

收稿日期:2010-01-29 修回日期:2010-06-09 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174).

Generalized photon-added coherent state and its quantum statistical properties

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

^a Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; ^b College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

Received:2010-01-29 Revised:2010-06-09 Online:2010-10-15 Published:2010-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174).

摘要/Abstract

摘要： In this paper, we propose a class of the generalized photon-added coherent states (GPACSs) obtained by repeatedly operating the combination of Bosonic creation and annihilation operatoes on the coherent state. The normalization factor of GPACS is related to Hermite polynomial. We also derive the explicit expressions of its statistical properties such as photocount distribution, Wigner function and tomogram and investigate their behaviour as the photon-added number varies graphically. It is found that GPACS is a kind of nonclassical state since Wigner function exhibits the negativity by increasing the photon-added number.

Abstract: In this paper, we propose a class of the generalized photon-added coherent states (GPACSs) obtained by repeatedly operating the combination of Bosonic creation and annihilation operatoes on the coherent state. The normalization factor of GPACS is related to Hermite polynomial. We also derive the explicit expressions of its statistical properties such as photocount distribution, Wigner function and tomogram and investigate their behaviour as the photon-added number varies graphically. It is found that GPACS is a kind of nonclassical state since Wigner function exhibits the negativity by increasing the photon-added number.

Key words: generalized photon-added coherent state, photocount distribution, Wigner function, tomogram

中图分类号: (Algebraic structures and number theory)

02.10.De

袁洪春, 徐学翔, 范洪义. Generalized photon-added coherent state and its quantum statistical properties[J]. 中国物理B, 2010, 19(10): 104205-104205.

Yuan Hong-Chun(袁洪春), Xu Xue-Xiang(徐学翔), and Fan Hong-Yi(范洪义). Generalized photon-added coherent state and its quantum statistical properties[J]. Chin. Phys. B, 2010, 19(10): 104205-104205.

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Generalized photon-added coherent state and its quantum statistical properties

Generalized photon-added coherent state and its quantum statistical properties

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