Linearized theory of the fluctuation dynamics in two-dimensional topological lasers
Authors: Loirette-Pelous A., Amelio I., Secli M., Carusotto I.
Autors Affiliation: University Paris-Saclay, Institut d?Optique Graduate School, CNRS, Laboratoire Charles Fabry, Palaiseau, 91127, France; INO-CNR BEC Center, Dipartimento di Fisica, Universita di Trento, Povo, 38123, Italy; International School for Advanced Studies (SISSA), Via Bonomea 265, Trieste, I-34136, Italy
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.
Journal/Review: PHYSICAL REVIEW. A (ONLINE)
Volume: 104 (5) Pages from: 053516-1 to: 053516-12
More Information: We acknowledge stimulating exchanges with Moti Segev and useful discussions with Stefano Longhi. We acknowledge financial support from the European Union Horizon 2020 Research and Innovation Program under Grant Agreement No. 820392 (H2020-FETFLAG-2018-2020 project “PhoQuS”) and from the Provincia Autonoma di Trento. A.L.-P. thanks the Ecole Normale Superieure de Paris-Saclay for the financial support.KeyWords: electronsDOI: 10.1103/PhysRevA.104.053516