Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis

TL;DR

This paper investigates the complex temporal behaviors such as self-pulsing, chaos, and bifurcations in a nonlinear photonic system modeled by the dissipative Bose-Hubbard dimer, revealing the underlying instabilities through bifurcation analysis.

Contribution

It provides a detailed bifurcation analysis of the asymmetric driven dissipative Bose-Hubbard dimer, identifying key instabilities leading to various nonlinear dynamical regimes.

Findings

Identification of bifurcations leading to self-pulsing and chaos

Characterization of dynamical regimes in the photonic dimer

Insight into instabilities causing complex temporal behaviors

Abstract

We perform a systematic study of the temporal dynamics emerging in the asymmetrically driven dissipative Bose-Hubbard dimer model. This model successfully describes the nonlinear dynamics of photonic diatomic molecules in linearly coupled Kerr resonators coherently excited by a single laser beam. Such temporal dynamics include self-pulsing oscillations, period doubled oscillatory states, chaotic dynamics, and spikes. The different states and dynamical regimes have been thoroughly characterized using bifurcation analysis. This analysis has allowed us to identify the main instabilities, i.e. bifurcations, responsible for the appearance of the previously stated dynamics.