Turbulence-induced rogue waves in Kerr resonators

Abstract

Spontaneous emergence of self-organized patterns and their bifurcations towards a regime of complex dynamics in non-equilibrium dissipative systems is a paradigm of phase transition. Indeed, the behavior of these patterns in the highly nonlinear regime remains less explored, even in recent high-quality-factor resonators such as Kerr-nonlinear optical ones. Here, we investigate theoretically and experimentally the alteration of the resulting Kerr frequency combs from the weakly to the highly nonlinear regime, in the frameworks of spatiotemporal chaos, and dissipative phase transitions. We reveal the existence of a striking and easily accessible scenario of spatiotemporal chaos, free of cavity solitons, in a monostable operating regime, wherein a transition to amplitude turbulence via spatiotemporal intermittency is evidenced. Moreover, statistics of the light bursts in the resulting turbulent regime unveils the existence of rogue waves as extreme events characterized by long-tail statistics.

References in corpus (2)

• Non-Gaussian statistics and extreme waves in a nonlinear optical cavity
• The turbulent cascade in five dimensions

Cited by in corpus (4)

• Nonlinear states and dynamics in a synthetic frequency dimension
• Threshold of complexity and Arnold tongues in Kerr ring microresonators
• Observation of the Eckhaus Instability in Whispering-Gallery Mode Resonators
• Engineered discreteness enables observation and control of chimera-like states in a system with local coupling