| Generalized photon-added coherent state and its quantum statistical properties |
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| 作者姓名： | 袁洪春 徐学翔 范洪义 |
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| 作者单位： | Department of Physics, Shanghai Jiao Tong University College of Physics and Communication Electronics, Jiangxi Normal University |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174). |
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| 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.
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| 关 键 词： | generalized photon-added coherent state photocount distribution Wigner function tomogram |
| 收稿时间： | 2010-01-29 |
| 修稿时间： | 6/9/2010 12:00:00 AM |
Generalized photon-added coherent state and its quantum statistical properties |
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| Yuan Hong-Chun,Xu Xue-Xiang and Fan Hong-Yi.Generalized photon-added coherent state and its quantum statistical properties[J].Chinese Physics B,2010,19(10):104205-104205. |
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| Authors: | Yuan Hong-Chun Xu Xue-Xiang and Fan Hong-Yi |
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| Institution: | Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China |
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| 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. |
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| Keywords: | generalized photon-added coherent state photocount distribution Wigner function tomogram |
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