Linearized theory of the fluctuation dynamics in 2D topological lasers

Abstract

We theoretically study the collective excitation modes of a topological laser device operating in a single-mode steady-state with monochromatic emission. We consider a model device based on a two-dimensional photonic Harper-Hofstadter lattice including a broadband gain medium localized on the system edge. Different regimes are considered as a function of the value of the optical nonlinearity and of the gain relaxation time. The dispersion of the excitation modes is calculated via a full two-dimensional Bogoliubov approach and physically interpreted in terms of an effective one-dimensional theory. Depending on the system parameters, various possible physical processes leading to dynamical instabilities are identified and characterized. On this basis, strategies to enforce a stable single-mode topological laser operation are finally pointed out.

13 pages, 6 figures

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• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Active topological photonics
• Theory of the coherence of topological lasers
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Cited by in corpus (3)

• Topological photonics: fundamental concepts, recent developments, and future directions
• Bogoliubov theory of the laser linewidth and application to polariton condensates
• Theory of quantum spin-Hall topological lasers