Spatio-temporal breather dynamics in microcomb soliton crystals

TL;DR

This paper investigates the complex spatio-temporal breather dynamics of optical soliton crystals in microcombs, revealing new physical mechanisms, dynamical routes, and stability conditions through experiments and theory.

Contribution

It introduces the first detailed exploration of spatio-temporal breather dynamics in soliton crystal microcombs, combining experimental imaging and theoretical modeling.

Findings

Identification of spatial breather behaviors and chaos transitions.

Mapping of breather frequency dependence on dispersion and mode crossing.

Development of panoramic imaging for soliton ensemble visualization.

Abstract

Solitons, the distinct balance between nonlinearity and dispersion, provide a route toward ultrafast electromagnetic pulse shaping, high-harmonic generation, real-time image processing, and RF photonic communications. Here we newly explore and observe the spatio-temporal breather dynamics of optical soliton crystals in frequency microcombs, examining spatial breathers, chaos transitions, and dynamical deterministic switching in nonlinear measurements and theory. To understand the breather solitons, we describe their dynamical routes and two example transitional maps of the ensemble spatial breathers, with and without chaos initiation. We elucidate the physical mechanisms of the breather dynamics in the soliton crystal microcombs, in the interaction plane limit cycles and in the domain-wall understanding with parity symmetry breaking from third order dispersion. We present maps of the accessible nonlinear regions, the breather frequency dependences on third order dispersion and avoided mode crossing strengths, and the transition between the collective breather spatiotemporal states. Our range of measurements matches well with our first-principles theory and nonlinear modeling. To image these soliton ensembles and their breathers, we further constructed panoramic temporal imaging for simultaneous fast and slow axis two dimensional mapping of the breathers. In the phase differential sampling, we present two dimensional evolution maps of soliton crystal breathers, including with defects, in both stable breathers and breathers with drift. Our fundamental studies contribute to the understanding of nonlinear dynamics in soliton crystal complexes, their spatiotemporal dependences, and their stability-existence zones.