Photon-Subtracted Two-Mode Squeezed Thermal State and Its Photon-Number Distribution |
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| Authors: | Jun Zhou Hong-yi Fan and Jun Song |
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| Institution: | (1) Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, 230026, China;(2) Department of Material and Chemical Engineering, West Anhui University, Lu’an, Anhui, 237012, China |
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| Abstract: | We construct the photon-subtracted two-mode squeezed thermal state (PSTMSTS) by subtracting any number of photons from two-mode
squeezed thermal state (TMSTS). It is found that the normalization factor of the density operator of PSTMSTS is a Jacobi polynomial
of squeezing parameter λ and average photon number `(n)]\bar{n} of the thermal state. We investigate the photon-number distribution (PND) of PSTMSTS and find a remarkable result that it
is a quotient of two Jacobi polynomials, as well as derive a corresponding character of Jacobi polynomial. |
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