A "metaphorical" nonlinear multimode fiber laser approach to weakly-dissipative Bose-Einstein condensates
Optics
2022-08-22 v1 Pattern Formation and Solitons
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.
Keywords
Cite
@article{arxiv.2010.11165,
title = {A "metaphorical" nonlinear multimode fiber laser approach to weakly-dissipative Bose-Einstein condensates},
author = {V. L. Kalashnikov and S. Wabnitz},
journal= {arXiv preprint arXiv:2010.11165},
year = {2022}
}
Comments
7 pages, 5 figures