Spontaneous formation of time-periodic vortex cluster in nonlinear fluids of light
Kirill A. Sitnik, Sergey Alyatkin, Julian D. T\"opfer, Ivan Gnusov,, Tamsin Cookson, Helgi Sigurdsson, Pavlos G. Lagoudakis

TL;DR
This paper reports the spontaneous emergence of a time-periodic vortex cluster in a nonlinear light-matter system, showcasing dynamic topological charge flipping and structured light formation in exciton-polariton condensates.
Contribution
It introduces the observation of a spontaneously formed, time-periodic vortex cluster with sign-flipping topological charges in a microcavity exciton-polariton condensate, a novel dynamic topological phenomenon.
Findings
Vortex cluster exhibits sign-flipping topological charges at GHz scale.
Condensate shows density beatings and ordered phase singularities.
Mode competition leads to high-order mode interference and structured light.
Abstract
We demonstrate spontaneous formation of a nonlinear vortex cluster state in a microcavity exciton-polariton condensate with time-periodic sign flipping of its topological charges at the GHz scale. When optically pumped with a ring-shaped nonresonant laser, the trapped condensate experiences intricate high-order mode competition and fractures into two distinct trap levels. The resulting mode interference leads to robust condensate density beatings with periodic appearance of orderly arranged phase singularities. Our work opens new perspectives on creating structured free-evolving light, and singular optics in the strong light-matter coupling regime.
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