Nonlinear non-Hermitian higher-order topological laser

Abstract

We investigate topological lasers in combination of nonlinear, non-Hermitian and topological lattice systems based on a quench dynamics starting from one site. We consider explicitly the topological laser in the Su-Schrieffer-Heeger (SSH) model with two topological edge states and the second-order topological laser in the breathing Kagome lattice with three topological corner states. Once we stimulate any one site, after a delay, all sites belonging to the topological edge or corner states begin to emit stable laser light depending on the density of states, although no wave propagation is observed from the stimulated site. It is intriguing that the profile of topological edge or corner states is observable by measuring the intensity of lasing. The phenomenon occurs due to a combinational effect of linear non-Hermitian loss terms and nonlinear non-Hermitian gain terms in the presence of the topological edge or corner states.

7 pages, 8 figures

References in corpus (17)

• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Scheme to Achieve Silicon Topological Photonics
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Topological Acoustics
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Reflection symmetric second-order topological insulators and superconductors
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Topological quantum matter in synthetic dimensions
• Photonic crystal nanocavity based on a topological corner state
• Nonlinear conduction via solitons in a topological mechanical insulator
• Active topological photonics
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Realization of an acoustic third-order topological insulator
• Optical isolation with nonlinear topological photonics
• Nonlinearity-induced transition in nonlinear Su-Schrieffer-Heeger model and nonlinear higher-order topological system

Cited by in corpus (18)

• Controlling mass and energy diffusion with metamaterials
• Perspective: non-Hermitian physics in magnetic systems
• Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
• Observation of Large-Number Corner Modes in $\mathbb{Z}$-class Higher-Order Topolectrical Circuits
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Tunable two-dimensional laser arrays with zero-phase locking
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Chiral edge soliton in nonlinear Chern systems
• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{P}\mathcal{T}$ symmetry
• Nonlinear Corner States in Topologically Nontrivial Kagome Lattice
• $\pi$ mode lasing in the non-Hermitian Floquet topological system
• Supersymmetric non-Hermitian topological interface laser
• Topological Corner States in Bilayer and Trilayer Systems with Vertically Stacked Topological Heterostructures
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Nonlinear topological Toda quasicrystal
• Nonlinearity-induced corner states in a kagome lattice
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems