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

摘要

We introduce a new non-Gaussian state (MCSO-OSCS), generated by m times coherent superposition operation a cos theta + a(dagger) sin theta (MCSO) on odd-Schrodinger-cat state |alpha(0)> - | - alpha(0)>(OSCS), whose normalized constant is shown to be related to Hermite polynomials. We investigate the nonclassical properties of the MCSO-OSCS through Mandel's Q-parameter, quadrature squeezing, the photocount distribution and Wigner function (WF), which is turned out to be influenced by parameters m, theta and alpha(0). Especially the volume of negative region of WF could increase through controlling the parameters m, theta and alpha(0). We also investigate the decoherence of the MCSO-OSCS in terms of the fadeaway of the negativity of WF in a thermal environment.