New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

doi:10.1088/1674-1056/22/3/034202

Abstract For the first time, we derive the compact forms of normalization factors for photon-added (-subtracted) two-mode squeezed thermal states by using the P-representation and the integration within an ordered product of operators (IWOP) technique. It is found that these two factors are related to the Jacobi polynomials. In addition, some new relations are presented for the Jacobi polynomials.

Keywords: two-mode squeezed thermal states normalization photon addition and subtraction integration within an ordered product of operators technique

Received: 30 July 2012
Revised: 12 September 2012
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. 11264018 and 60978009), the Major Research Plan of the National Natural Science Foundation of China (Grant No. 91121023), the National Basic Research Project of China (Grant No. 2011CBA00200), and the Young Talents Foundation of Jiangxi Normal University, China.

Corresponding Authors: Hu Li-Yun
E-mail: hlyun@jxnu.edu.cn

Cite this article:

Hu Li-Yun (胡利云), Fan Hong-Yi (范洪义), Zhang Zhi-Ming (张智明) New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states 2013 Chin. Phys. B 22 034202

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New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

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