Optical realization of nonlinear quantum dynamics

TL;DR

This paper demonstrates how nonlinear quantum dynamics, specifically Schrödinger cat states, can be realized optically using Gaussian beams in GRIN media, with potential beam splitting effects explored.

Contribution

It introduces a method to mimic Kerr medium-induced quantum states through classical optical beam propagation with second order corrections.

Findings

Superposition of coherent states can be generated in optical systems.

Gaussian beams can be split into two in GRIN media.

A second order correction improves the paraxial approximation.

Abstract

In a cavity filled with a Kerr medium it is possible to generate the superposition of coherent states, i.e. Schroodinger cat states may be realized in this system. We show that such a medium may be mimicked by the propagation of a conveniently shaped Gaussian beam in a GRIN device. This is attained by introducing a second order correction to the paraxial propagation of the beam. An additional result is that a Gaussian beam propagating in GRIN media, may split into two Gaussian beams.