Floquet topological insulator laser

Abstract

We introduce a class of topological lasers based on the photonic Floquet topological insulator concept. The proposed system is realized as a truncated array of the lasing helical waveguides, where the pseudo-magnetic field arises due to twisting of the waveguides along the propagation direction that breaks the time-reversal symmetry and opens up a topological gap. When sufficient gain is provided in the edge channels of the array then the system lases into the topological edge states. Topological lasing is stable only in certain intervals of the Bloch momenta, that ensure a dynamic, but stable balance between the linear amplification and nonlinear absorption leading to the formation of the breathing edge states. We also illustrate topological robustness of the edge currents by simulating lattice defects and triangular arrangements of the waveguides.

arXiv comment23 pages, 5 figures

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• Theory of Topological Corner State Laser in Kagome Waveguide Arrays
• Vector valley Hall edge solitons in superhoneycomb lattices
• Floquet edge solitons in modulated trimer waveguide arrays
• Dynamical Detection of Topological Spectral Density
• Josephson oscillations of edge solitons in a photonic-topological coupler
• Supersymmetric non-Hermitian topological interface laser
• $\pi$ mode lasing in the non-Hermitian Floquet topological system
• Non-Hermitian laser arrays with tunable phase locking
• Floquet topological insulators with hybrid edges
• Macroscopic Zeno effect in Su-Schrieffer-Heeger photonic topological insulator
• Reducing the impact of bulk doping on transport properties of Bi-based 3D topological insulators
• Quantitative measure of topological protection in Floquet systems through the spectral localizer