Nonlinear patterns in Bose-Einstein condensates in dissipative optical lattices

TL;DR

This paper demonstrates the existence of stable nonlinear Bloch states in a dissipative optical lattice system described by a nonlinear Schrödinger equation, relevant for Bose-Einstein condensates with inelastic interactions.

Contribution

It introduces a model showing stable nonlinear Bloch states as attractors in a dissipative optical lattice with nonlinear losses and pumping.

Findings

Stable nonlinear Bloch states exist in the model.

The states act as attractors in the system.

The model applies to BECs with inelastic atom-photon interactions.

Abstract

It is shown that the one-dimensional nonlinear Schr\"odinger equation with a dissipative periodic potential, nonlinear losses and linear pump allow for the existence of stable nonlinear Bloch states which are attractors. The model describes a Bose-Einstein condensate with inelastic two- and three-body interactions loaded in an optical lattice with losses due to inelastic interactions of the atoms with photons.