Robust three-dimensional high-order solitons and breathers in driven dissipative systems: a Kerr cavity realization

Fuente: arXiv
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Autori principali: Sun, Yifan, Parra-Rivas, Pedro, Milian, Carles, Kartashov, Yaroslav V., Ferraro, Mario, Mangini, Fabio, Zitelli, Mario, Jauberteau, Raphael, Talenti, Francesco R., Wabnitz, Stefan
Natura: Preprint
Pubblicazione: 2022
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author Sun, Yifan
Parra-Rivas, Pedro
Milian, Carles
Kartashov, Yaroslav V.
Ferraro, Mario
Mangini, Fabio
Zitelli, Mario
Jauberteau, Raphael
Talenti, Francesco R.
Wabnitz, Stefan
author_facet Sun, Yifan
Parra-Rivas, Pedro
Milian, Carles
Kartashov, Yaroslav V.
Ferraro, Mario
Mangini, Fabio
Zitelli, Mario
Jauberteau, Raphael
Talenti, Francesco R.
Wabnitz, Stefan
contents We present a general approach to excite robust dissipative three-dimensional and high-order solitons and breathers in passively driven nonlinear cavities. Our findings are illustrated in the paradigmatic example provided by an optical Kerr cavity with diffraction and anomalous dispersion, with the addition of an attractive three-dimensional parabolic potential. The potential breaks the translational symmetry along all directions, and impacts the system in a qualitatively unexpected manner: three-dimensional solitons, or light-bullets, are the only existing and stable states for a given set of parameters. This property is extremely rare, if not unknown, in passive nonlinear physical systems. As a result, the excitation of the cavity with any input field leads to the deterministic formation of a target soliton or breather, with a spatiotemporal profile that unambiguously corresponds to the given cavity and pumping conditions. In addition, the tuning of the potential width along the temporal direction results in the existence of a plethora of stable asymmetric solitons. Our results may provide a solid route towards the observation of dissipative light bullets and three-dimensional breathers.
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institution arXiv
publishDate 2022
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spellingShingle Robust three-dimensional high-order solitons and breathers in driven dissipative systems: a Kerr cavity realization
Sun, Yifan
Parra-Rivas, Pedro
Milian, Carles
Kartashov, Yaroslav V.
Ferraro, Mario
Mangini, Fabio
Zitelli, Mario
Jauberteau, Raphael
Talenti, Francesco R.
Wabnitz, Stefan
Optics
Pattern Formation and Solitons
We present a general approach to excite robust dissipative three-dimensional and high-order solitons and breathers in passively driven nonlinear cavities. Our findings are illustrated in the paradigmatic example provided by an optical Kerr cavity with diffraction and anomalous dispersion, with the addition of an attractive three-dimensional parabolic potential. The potential breaks the translational symmetry along all directions, and impacts the system in a qualitatively unexpected manner: three-dimensional solitons, or light-bullets, are the only existing and stable states for a given set of parameters. This property is extremely rare, if not unknown, in passive nonlinear physical systems. As a result, the excitation of the cavity with any input field leads to the deterministic formation of a target soliton or breather, with a spatiotemporal profile that unambiguously corresponds to the given cavity and pumping conditions. In addition, the tuning of the potential width along the temporal direction results in the existence of a plethora of stable asymmetric solitons. Our results may provide a solid route towards the observation of dissipative light bullets and three-dimensional breathers.
title Robust three-dimensional high-order solitons and breathers in driven dissipative systems: a Kerr cavity realization
topic Optics
Pattern Formation and Solitons
url https://arxiv.org/abs/2212.13052