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Updated: Jun 30, 2025

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
Published on: December 15, 2021
Self-trapping of vortex crystals via competing nonlinearities
Angel Paredes1, Humberto Michinel1
1Instituto de Física e Ciencias Aeroespaciais (IFCAE), Universidade de Vigo. Campus de As Lagoas, E-32004 Ourense, Spain.
Abstract:
We investigate the existence of self-trapped nonlinear waves with multiple phase singularities. Working with the cubic-quintic nonlinear Schrödinger equation, we focus on configurations with an antivortex surrounded by a triangular arrangement of vortices within a hosting soliton. We find stationary patterns that can be interpreted as stable self-trapped vortex crystals, constituting the first example of a configuration of this sort with space-independent potentials. Their stability is linked to their norm, transitioning from unstable to stable as their size increases, with an intermediate region where the structure is marginally unstable, undergoing a remarkable and puzzling self-reconstruction during its evolution.
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