Wigner function evolution in a self-Kerr medium derived by entangled state representation
Liyun Hu, Zhenglu Duan, Xue-xiang Xu, Zisheng Wang · Journal of Physics A Mathematical and Theoretical · 2011
By introducing the thermo entangled state representation, we convert the calculation of Wigner function (WF) of density operator to an overlap between "two pure" states in a two-mode enlarged Fock space. Furthermore, we derive a new WF evolution formula of any initial state in self-Kerr Medium with photon loss and find that the photon number distribution for any initial state is independent of the coupling factor with Kerr Medium, where the number state is not affected by the Kerr nonlinearity and evolves into a density operator of binomial distribution.