Regular Article

Non-Gaussian correlation estimates of two-mode hybrid entangled states via cross-Kerr medium and cumulant method

School of Mechanical, Optoelectronics and Physics, Huaihua University, Huaihua 418008, P.R. China

^a e-mail: shxiang97@163.com

Received: 21 May 2018
Received in final form: 30 July 2018
Published online: 18 October 2018

Abstract

We characterize the non-Gaussian character of two-mode continuous-variable states based on the phase-averaged cumulant approach. We study the dynamics of non-Gaussianity of two-mode hybrid entangled states generated via the cross-Kerr nonlinearity by analyzing the fourth-order phase-averaged cumulant. It is shown that for a case of stronger coherent for one incident light, the non-Gaussianity undergoes some oscillations conditioned on the initial conditions of another incident light. Interestingly, one can simultaneously obtain the two-mode state’s maximum entanglement and highly non-Gaussian correlations by controlling the cross-Kerr interaction. Finally, we discuss the relationship between the entanglement and the variational non-Gaussianity of such states.