Robust Three-Dimensional High-Order Solitons and Breathers in Driven Dissipative Systems: A Kerr Cavity Realization

Year: 2023

Authors: Sun YF., Parra-Rivas P., Milibn C., Kartashov Y., Ferraro M., Mangini F., Jauberteau R., Talenti FR., Wabnitz S.

Autors Affiliation: Sapienza Univ Rome, Dept Informat Engn Elect & Telecommun, Via Eudossiana 18, I-00184 Rome, Italy; Univ Politcn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain; Russian Acad Sci, Inst Spect, Troitsk 108840, Moscow, Russia; Ist Nazl Ottica, CNR INO, Via Campi Flegrei 34, I-80078 Pozzuoli, Italy.

Abstract: 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 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 toward the observation of dissipative light bullets and three-dimensional breathers.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 131 (13)      Pages from: 137201-1  to: 137201-7

More Information: This work was supported by European Research Council (740355) , Marie Sklodowska-Curie Actions (101064614, 101023717) , Ministero dell’Istruzione, dell’Universita e della Ricerca (R18SPB8227) . C. M. acknowledges support from PROMETEO/2021/082 and from the Spanish government via the Grant PID2021-124618NB-C21 funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe. Y. V. K. is supported by the research Project No. FFUU-2021-0003 of the Institute of Spectroscopy of the Russian Academy of Sciences.
KeyWords: Spatiotemporal Mode-locking; Light; Collapse; Modulation; Stability; Vortices; Behavior; Media
DOI: 10.1103/PhysRevLett.131.137201

Citations: 7
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