Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point

TL;DR

This paper investigates how exceptional points influence the nonlinear dynamics and dissipative Kerr soliton generation in a multimode photonic dimer, revealing new regimes of operation related to parity-time symmetry states.

Contribution

It provides the first analysis of dissipative Kerr soliton generation in a nonlinear photonic dimer across exceptional points, highlighting the role of parity-time symmetry regimes.

Findings

Identification of two nonlinear regimes: parity-time symmetric and broken symmetry.

Efficient generation of dissipative Kerr solitons on both sides of the exceptional point.

Observation of dissipation splitting in the symmetry-broken regime.

Abstract

Exceptional points are a ubiquitous concept widely present in driven-dissipative coupled systems described by a non-Hermitian Hamiltonian. It is characterized by the degeneracy of the Hamiltonian's eigenvalues and coalescence of corresponding eigenvectors. Recent developments demonstrated that exceptional points can play an important role in photonics. However, to date, exceptional points have been extensively examined in the systems supporting only a few optical modes, thereby leaving the observation of collective (multimode) effects outside of the scope of study. In the present paper, we analyze the role of exceptional points in nonlinear multimode photonics. Specifically, we provide insights into complex nonlinear dynamics arising in a continuous wave-driven pair of strongly coupled nonlinear micro-resonators (i.e. a nonlinear photonic dimer) operating in the multimode regime. Investigating this system, which is known to possess exceptional points, we find two fundamentally different nonlinear regimes of operation corresponding to effective parity-time symmetric and broken parity-time symmetry states. We demonstrate that the photonic dimer can be critically coupled to a bus waveguide, thereby, providing an efficient generation of the dissipative Kerr solitons on both sides of the exceptional point. The parity-time symmetric case, which corresponds to a pair of symmetrically split resonances, has been recently shown to exhibit a variety of emergent phenomena including gear soliton generation, symmetry breaking, and soliton hopping. Dissipative solitons generation in the parity-time symmetry broken case - leading to the dissipation splitting - up to now remains unexplored.