Hybrid patterns and solitonic frequency combs in non-Hermitian Kerr Cavities

TL;DR

This paper introduces a novel hybrid mechanism for dissipative localized structures in non-Hermitian Kerr cavities, blending traditional soliton formation processes, with significant implications for frequency comb control.

Contribution

It reveals how periodic non-Hermitian modulation in Kerr cavities creates hybrid solitonic states, unifying previously distinct formation mechanisms.

Findings

Hybrid solitonic states exhibit dual behaviour.

Reversible real-time manipulation of frequency combs.

New mechanisms for dissipative structure formation.

Abstract

We unveil a new scenario for the formation of dissipative localised structures in nonlinear systems. Commonly, the formation of such structures arises from the connection of a homogeneous steady state with either another homogeneous solution or a pattern. Both scenarios, typically found in cavities with normal and anomalous dispersion, respectively, exhibit unique fingerprints and particular features that characterise their behaviour. However, we show that the introduction of a periodic non-Hermitian modulation in Kerr cavities hybridises the two established soliton formation mechanisms, embodying the particular fingerprints of both. In the resulting novel scenario, the stationary states acquire a dual behaviour, playing the role that was unambiguously attributed to either homogeneous states or patterns. These fundamental findings have profound practical implications for frequency comb generation, introducing unprecedented reversible mechanisms for real-time manipulation.