Single mode quantum properties of the codirectional Kerr nonlinear coupler: frequency mismatch and exact solution

TL;DR

This paper explores the quantum properties of a Kerr nonlinear coupler, analyzing how frequency mismatch affects squeezing, phase properties, and the generation of cat states, with exact solutions provided.

Contribution

It provides an exact analytical solution for the system and investigates quantum phenomena like squeezing, phase variance, and cat state generation under frequency mismatch conditions.

Findings

Quadrature squeezing exhibits collapse-revival phenomena.

System can generate Yurke-Stoler cat states.

Phase variance shows collapse-revival-subrevival behavior.

Abstract

In this paper, we investigate the single mode quantum properties of the codirectional Kerr nonlinear coupler when the frequency mismatch is involved and a condition for an exact solution of equations of motion is fulfilled. Particularly, we investigate quadrature and principal squeezing, Wigner function, quadrature distribution, phase distribution and phase variance. We show that the quadrature squeezing and the phase variance can exhibit collapse-revival and collapse-revival-subrevival phenomena, respectively, based on the values of the detuning parameter. Furthermore, we analytically demonstrate that the system can generate cat states, in particular, Yurke-Stoler states.