Photon-number distribution of two-mode squeezed thermal states by entangled state representation

doi:10.1088/1674-1056/21/6/064207

Abstract Using the entangled state representation, we convert a two-mode squeezed number state to a Hermite polynomial excited squeezed vacuum state. We first analytically derive the photon number distribution of the two-mode squeezed thermal states. It is found that it is a Jacobi polynomial; a remarkable result. This result can be directly applied to obtaining the photon number distribution of non-Gaussian states generated by subtracting from (adding to) two-mode squeezed thermal states.

Keywords: entangled state representation Hermite polynomial excited state squeezed thermal states photon-number distribution

Received: 01 November 2011
Revised: 14 December 2011
Accepted manuscript online:

PACS:	42.50.Dv	(Quantum state engineering and measurements)
	03.65.Wj	(State reconstruction, quantum tomography)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11047133, 60978009, and 10774088), the Major Research Plan of the National Natural Science Foundation of China (Grant No. 91121023), the ''973" Project (Grant No. 2011CBA00200), and the Natural Science Foundation of Jiangxi Province of China (No. 2010GQW0027), and the Sponsored Program for Cultivating Youths of Outstanding Ability in Jiangxi Normal University.

Corresponding Authors: Hu Li-Yun, Zhang Zhi-Ming
E-mail: hlyun2008@126.com; zmzhang@scnu.edu.cn

Cite this article:

Hu Li-Yun(胡利云), Wang Shuai(王帅), and Zhang Zhi-Ming(张智明) Photon-number distribution of two-mode squeezed thermal states by entangled state representation 2012 Chin. Phys. B 21 064207

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