Nonlinear patterns in Bose-Einstein condensates in dissipative optical lattices

Abstract

It is shown that the one-dimensional nonlinear Schrödinger 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.

accepted for Phys. Rev. A

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• Stability of Bose-Einstein condensates in a $\mathcal{P}\mathcal{T}$ symmetric double-$\delta$ potential close to branch points
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• Stabilization of Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers by External Phase Modulation