Linearized theory of the fluctuation dynamics in two-dimensional topological lasers
Aurelian Loirette-Pelous1,2, Ivan Amelio2, Matteo Seclì3, and Iacopo Carusotto2
Phys. Rev. A 104, 053516 (2021) – Published 16 November 2021
Also available on: arXiv
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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.
PACS: 03.65.Vf, 42.60.Da, 42.65.Sf, 73.43.-f
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Université Paris-Saclay, Institut d’Optique Graduate School, CNRS, Laboratoire Charles Fabry, 91127 Palaiseau, France ↩
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INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy ↩ ↩2 ↩3
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International School for Advanced Studies (SISSA), Via Bonomea 265, I-34136 Trieste, Italy ↩
