Route to chaos in a coupled microresonator system with gain and loss
arXiv:1808.06855 · doi:10.1007/s11071-019-04997-5
Abstract
We consider chaotic dynamics of a system of two coupled ring resonators with a linear gain and a nonlinear absorption. Such a structure can be implemented in various settings including microresonator nanostructures, polariton condensates, optical waveguides or atomic Bose-Einstein condensates of ultra-cold atoms placed in a circular-shaped trap. From the theoretical point of view this system is attractive due to its modulational instability and rich structure, including various types of spontaneous symmetry breaking, period doubling bifurcations, eventually leading to chaotic regime. It is described by set of partial differential equations but we show that the so called Galerkin approximation can explain most of the system characteristics mapping it on the dynamics of few coupled oscillator modes. The main goal of present study is to investigate various routes to chaos in our non-hermitian system and to show the correspondence between the continuous operator problem and its discrete representation.
arXiv comment15 pages, 5 figures, original research
References in corpus (10)
- Temporal solitons in optical microresonators
- Exciton-polariton condensates
- Universal dynamics and controlled switching of dissipative Kerr solitons in optical microresonators
- Breathing dissipative solitons in optical microresonators
- Breather soliton dynamics in microresonators
- Galerkin Approximation of Dynamical Quantities using Trajectory Data
- Spin-Flipping Half Vortex in a Macroscopic Polariton Spinor Ring Condensate
- Coherence properties of an atom laser
- Probing quasi-integrability of the Gross-Pitaevskii equation in a harmonic-oscillator potential
- Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators