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arXiv · 2101.11737

Linearized theory of the fluctuation dynamics in 2D topological lasers

Aurelian Loirette-Pelous·Ivan Amelio·Matteo Seclì·Iacopo Carusotto
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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.

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Aurelian Loirette-Pelous, Ivan Amelio, Matteo Seclì, Iacopo Carusotto. 2021-01-27. Linearized theory of the fluctuation dynamics in 2D topological lasers. https://doi.org/10.1103/physreva.104.053516

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