Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

doi:10.1088/1674-1056/23/2/020302

Abstract For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed states. We show that the normalization is related to Jacobi polynomial, so the cumulant expansion in turn represents the new generating function of Jacobi polynomial.

Keywords: Jacobi polynomial photon number cumulant expansion photon subtracted- and photon added-two-mode squeezed states

Received: 15 May 2013
Revised: 19 July 2013
Accepted manuscript online:

PACS:	03.65.Ca	(Formalism)
	02.30.Gp	(Special functions)
	42.50.-p	(Quantum optics)

Fund: Project supported by the Natural Science Foundation of Fujian Province, China (Grant No. 2011J01018) and the National Natural Science Foundation of China (Grant No. 11175113).

Corresponding Authors: Lu Dao-Ming
E-mail: daominglu79@hotmail.com

About author: 03.65.Ca; 02.30.Gp; 42.50.-p

Cite this article:

Lu Dao-Ming (卢道明), Fan Hong-Yi (范洪义) Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states 2014 Chin. Phys. B 23 020302

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Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

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