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Chin. Phys. B, 2014, Vol. 23(2): 020302    DOI: 10.1088/1674-1056/23/2/020302
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Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

Lu Dao-Ming (卢道明)a, Fan Hong-Yi (范洪义)b
a College of Mechanic and Electronic Engineering, Wuyi University, Wuyishan 354300, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
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:
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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