Photon-number distribution of two-mode squeezed thermal states by entangled state representation
Liyun Hu, Shuai Wang, Zhiming Zhang · Chinese Physics B · 2012
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.