Volume 133, Number 3, February 2021
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||26 March 2021|
A “metaphorical” nonlinear multimode fiber laser approach to weakly dissipative Bose-Einstein condensatesa
1 Dipartimento di Ingegneria dell'Informazione, Elettronica e Telecomunicazioni, Sapienza Università di Roma via Eudossiana 18, 00184 Rome, Italy
2 Institute of Photonics, Vienna University of Technology - Gusshausstrasse 25-29, Vienna 1040, Austria
3 Novosibirsk State University - Pirogova 1, Novosibirsk 630090, Russia
Received: 15 October 2020
Accepted: 11 February 2021
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.
PACS: 42.65.-k – Nonlinear optics / 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 42.81.Dp – Propagation, scattering, and losses; solitons
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