Abstract
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 α. 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 κt exceeds the threshold value \(\frac{1}{2}\ln [ ( 2\bar{n}+2 ) / ( 2\bar{n}+1 ) ] \). 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.
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Work supported by the National Natural Science Foundation of China (Grant No. 11264018), and the Natural Science Foundation of Jiangxi Province of China (Nos. 2010GQW0027 and 2009GZW0006), and the Research Foundation of the Jiangxi Province of China (No. GJJ12171), as well as the sponsored program for cultivating youths of outstanding ability in Jiangxi Normal University.
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Wei, CP., Xie, FS., Zhang, HL. et al. Decoherence of Photon-Added Schrödinger Cat States in Thermal Environment. Int J Theor Phys 52, 798–810 (2013). https://doi.org/10.1007/s10773-012-1389-y
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DOI: https://doi.org/10.1007/s10773-012-1389-y