摘要
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 efa 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.
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 efa 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.
基金
supported by the National Natural Science Foundation of China (No. 60978009)
the Major Research Plan of the National Natural Science Foundation of China (No. 91121023)
the National "973"Project of China (No. 2011CBA00200)
the Natural Science Foundation of Jiangxi Province of China (No.2010GQW0027)
the Sponsored Program for Cultivating Youths of Outstanding Ability in Jiangxi Normal University
