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

A “metaphorical” nonlinear multimode fiber laser approach to weakly dissipative Bose-Einstein condensates / Kalashnikov, Vladimir; Wabnitz, Stefan. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 133:3(2021), pp. 1-7. [10.1209/0295-5075/133/34002]

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

Kalashnikov, Vladimir;Wabnitz, Stefan
2021

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
2021
optical fibers; nonlinear optics; optical solitons; Kerr effect; four wave mixingical solitons; nonlinear optics; optical fibers
01 Pubblicazione su rivista::01a Articolo in rivista
A “metaphorical” nonlinear multimode fiber laser approach to weakly dissipative Bose-Einstein condensates / Kalashnikov, Vladimir; Wabnitz, Stefan. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 133:3(2021), pp. 1-7. [10.1209/0295-5075/133/34002]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1529254
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