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.
@article{arxiv.1406.2959,
title = {Optical realization of nonlinear quantum dynamics},
author = {F. Soto-Eguibar and V. Arrizon and A. Zúñiga-Segundo and H. M. Moya-Cessa},
journal= {arXiv preprint arXiv:1406.2959},
year = {2023}
}