%A Lu Dao-Ming (卢道明), Fan Hong-Yi (范洪义) %T Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states %0 Journal Article %D 2014 %J Chin. Phys. B %R 10.1088/1674-1056/23/2/020302 %P 20302-020302 %V 23 %N 2 %U {https://cpb.iphy.ac.cn/CN/abstract/article_115877.shtml} %8 2013-12-12 %X 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.