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.

© 2012 Chinese Optics Letters

Nonclassicality and decoherence of photon-added squeezed thermal state in thermal environment

Li-Yun Hu and Zhi-Ming Zhang
J. Opt. Soc. Am. B 29(4) 529-537 (2012)

Entanglement and nonclassicality of photon-added two-mode squeezed thermal state

Li-Yun Hu, Fang Jia, and Zhi-Ming Zhang
J. Opt. Soc. Am. B 29(6) 1456-1464 (2012)

Photon-number distributions of non-Gaussian states generated by photon subtraction and addition

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J. Opt. Soc. Am. B 29(5) 1020-1028 (2012)

Nonclassical properties of photon-added two-mode squeezed thermal states and their decoherence in the thermal channel

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J. Opt. Soc. Am. B 29(7) 1844-1853 (2012)

Nonclassicality and decoherence of photon-subtracted squeezed vacuum states

Xiang-guo Meng, Zhen Wang, Hong-yi Fan, and Ji-suo Wang
J. Opt. Soc. Am. B 29(11) 3141-3149 (2012)