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arXiv · 1112.0854

New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

Li-Yun Hu·Zhi-Ming Zhang
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Abstract

Using the thermal field dynamics theory to convert the thermal state to a "pure" state in doubled Fock space, it is found that the average value of e^{fa^{†}a} under squeezed thermal state (STS) is just the generating function of Legendre polynomials, a remarkable result. Based on this point, the normalization and photon-number distributions of m-photon added (or subtracted) STS are conviently obtained as the Legendre polynomials. This new concise method can be expanded to the entangled case.

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Li-Yun Hu, Zhi-Ming Zhang. 2011-12-05. New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states. https://doi.org/10.3788/col201210.082701

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