Chinese Optics Letters, 2012, 10 (8): 082701, Published Online: May. 16, 2012
New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states
Abstract
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^{fa+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.
Liyun Hu, Zhiming Zhang. New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states[J]. Chinese Optics Letters, 2012, 10(8): 082701.