Generalized photon-added coherent state and its quantum statistical properties

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

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.

Keywords: generalized photon-added coherent state photocount distribution Wigner function tomogram

Received: 29 January 2010
Revised: 09 June 2010
Accepted manuscript online:

PACS:	02.10.De	(Algebraic structures and number theory)
	42.50.Ar

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174).

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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 2010 Chin. Phys. B 19 104205

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