English

Wigner function evolution in self-Kerr Medium derived by Entangled state representation

Quantum Physics 2015-05-20 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1010.0584,
  title  = {Wigner function evolution in self-Kerr Medium derived by Entangled state representation},
  author = {Li-yun Hu and Zheng-lu Duan and Xue-xiang Xu and Zi-sheng Wang},
  journal= {arXiv preprint arXiv:1010.0584},
  year   = {2015}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-21T16:23:23.179Z