New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states
Liyun Hu, Zhiming Zhang · Chinese Optics Letters · 2012
Using the thermal field dynamics theory to convert the thermal state into a "pure" state in doubled Fock space, we find that the average value of e f a † a under squeezed thermal state (STS) is just the generating function of Legendre polynomials.Based on this remarkable result, the normalization and photon-number distributions of m-photon added (or subtracted) STSs are conviently obtained as the Legendre polynomials.This new concise method can be expanded to the entangled case.