Statistical properties of a generalized photon-modulated thermal state
Xue-xiang Xu, Hong‐Chun Yuan, Liyun Hu, Hong-Yi Fan · Journal of Physics A Mathematical and Theoretical · 2011
In this paper, we introduce a new kind of quantum state, generalized photon-modulated thermal states (GPMTS), which are obtained by repeatedly acting the superposed operation (a coherent superposition of photon subtraction and addition) on the thermal state. It is found that the normalization factor of GPMTS is a Legendre polynomial. Moreover, we present the analytical expressions of several quasi-probability distributions for GPMTS and calculate the corresponding tomogram and photocount distribution as well.