Nonclassicality of the photon addition-then-subtraction coherent state and its decoherence in the photon-loss channel
Zhen Wang, Hong‐Chun Yuan, Hong-Yi Fan · Journal of the Optical Society of America B · 2011
In this paper the photon addition-then-subtraction coherent state (PASCS) is put forward by first adding multiphotons to and then subtracting multiphotons from the coherent state. By taking advantage of the technique of integration within an ordered product of operators, the analytical expressions of the normalization constant, photon-number distribution, Mandel’s Q parameter, the P function, the Q function, and the Wigner function (WF) of the PASCS are derived. The fidelity between the PASCS and the initial coherent state is also deduced and its nonclassicality discussed. In addition, the time evolution of the WF is derived analytically and the decoherence of the PASCS in the photon-loss channel is studied.