A "metaphorical" nonlinear multimode fiber laser approach to weakly-dissipative Bose-Einstein condensates

TL;DR

This paper explores a novel approach to stabilizing two-dimensional nonlinear wave patterns in Bose-Einstein condensates by drawing an analogy with mode-locked fiber lasers, using dissipative confinement and analyzing pattern stability.

Contribution

It introduces a metaphorical nonlinear multimode fiber laser method to control weakly-dissipative Bose-Einstein condensates through dissipative potential and mode-locking techniques.

Findings

Stable 2D wave patterns achieved via dissipative confinement.

Pattern destabilization scenarios include soliton dissolution and turbulence.

Dissipation grading influences pattern stability and dynamics.

Abstract

We demonstrate the stabilization of two-dimensional nonlinear wave patterns by means of a dissipative confinement potential. Our analytical and numerical analysis, based on the generalized dissipative Gross-Pitaevskii equation, makes use of the close analogy between the dynamics of a Bose-Einstein condensate and that of mode-locked fiber laser, operating in the anomalous dispersion regime. In the last case, the formation of stable two-dimensional patterns corresponds to spatiotemporal mode-locking, using dissipation-enhanced mode cleaning. We analyze the main scenarios of pattern destabilization, varying from soliton dissolution to its splitting and spatiotemporal turbulence, and their dependence on graded dissipation.