Decoherence of Photon-Added Schrodinger Cat States in Thermal Environment

作者:Wei, Chao-Ping; Xie, Fang-Sen; Zhang, Hao-Liang; Hu, Li-Yun*
来源:International Journal of Theoretical Physics, 2013, 52(3): 798-810.
DOI:10.1007/s10773-012-1389-y

摘要

We analyze the statistical properties and decoherence of the field states produced by adding any number of photons to the Schrodinger Cat states (SCSs) in a thermal environment. It is found that the normalization factor of PA-SCS is the Hermite polynomial of the coherent factor alpha. The statistical properties and decoherence is discussed by deriving analytically the time evolution of the Q-function, Wigner function and the photon-number distribution. It is shown that the single photon-added even SCSs, the Wigner function is always positive in the whole phase space when kappa t exceeds the threshold value . This implies that the single photon-added even SCSs possesses a robustness due to the presence of photon-addition, which can also be seen from the point of view of the volume of negative region of Wigner function.