Non-Gaussianity and decoherence of generalized photon-added coherent state as a Hermite-excited coherent state

doi:10.1088/1674-1056/21/2/024202

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 24202-024202.doi: 10.1088/1674-1056/21/2/024202

李恒梅¹,许雪芬²

收稿日期:2011-07-15 修回日期:2011-08-19 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 李恒梅,lihengm@ustc.edu.cn or lihengm@czu.cn E-mail:lihengm@ustc.edu.cn or lihengm@czu.cn

Non-Gaussianity and decoherence of generalized photon-added coherent state as a Hermite-excited coherent state

Li Heng-Mei(李恒梅)^a)† and Xu Xue-Fen(许雪芬)^b)

a. School of Science, Changzhou Institute of Technology, Changzhou 213002, China;
b. School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001, China

Received:2011-07-15 Revised:2011-08-19 Online:2012-01-30 Published:2012-01-30
Contact: Li Heng-Mei,lihengm@ustc.edu.cn or lihengm@czu.cn E-mail:lihengm@ustc.edu.cn or lihengm@czu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11174114) and the Research Foundation of Changzhou Institute of Technology, China (Grant No. YN1007).

摘要/Abstract

Abstract: Generalized photon-added coherent state (GPACS) is obtained by repeatedly acting the combination of Bose creation and annihilation operations on the coherent state. It is found that GPACS can be regarded as a Hermite-excited coherent state due to its normalization factor related to a Hermite polynomial. In addition, we adopt the Hilbert-Schmidt distance to quantify the non-Gaussian character of GPACS and discuss the decoherence of GPACS in dissipative channel by studying the loss of nonclassicality in reference of the negativity of Wigner function.

Key words: generalized photon-added coherent state, Hermite polynomial, non-Gaussianity, the negativity of Wigner function

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

42.50.Dv

03.65.Ca (Formalism) 03.65.Ud (Entanglement and quantum nonlocality)

李恒梅, 许雪芬. [J]. 中国物理B, 2012, 21(2): 24202-024202.

Li Heng-Mei(李恒梅) and Xu Xue-Fen(许雪芬) . Non-Gaussianity and decoherence of generalized photon-added coherent state as a Hermite-excited coherent state[J]. Chin. Phys. B, 2012, 21(2): 24202-024202.

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Non-Gaussianity and decoherence of generalized photon-added coherent state as a Hermite-excited coherent state

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