M Times Photon Subtraction-Addition Coherent Superposition Operated Odd-Schrődinger-cat State: Nonclassicality and Decoherence

Abstract

We introduce a new non-Gaussian state, generated by m times coherent superposition operation $a\cos \hat{I}¸+a^{†}{e}^{i\ddot{I}†}\sin \hat{I}¸$ (MCSO) on odd-Schrodinger-cat state (OSCS). Its normalized constant is turned out to be related with the Hermite polynomial. We further investigate the nonclassical properties of the MCSO-OSCS through Mandel's Q-parameter, quadrature squeezing, the photocount distribution and Wigner function (WF). It is shown that the nonclassicality of the MCSO-OSCS is influenced by the number of times (m) of coherent superpositon operation, the angle $\hat{I}¸$ and the amplitude of the coherent state (|$\hat{I}{\pm }_0$|). Especially the volume of negative region of WF increases with the increment of parameters m, $\hat{I}¸$ and $\hat{I}{\pm }_0$. We also investigate the decoherence of the MCSO-OSCS in terms of the fadeaway of the negativity of WF in a thermal environment.

14 pages with 10 figures