Topological Bulk Lasing Modes Using an Imaginary Gauge Field

Abstract

Topological edge modes, which are robust against disorders, have been used to enhance the spatial stability of lasers. Recently, it was revealed that topological lasers can be further stabilized using a novel topological phase in non-Hermitian photonic topological insulators. Here we propose a procedure to realize topologically protected modes extended over a d-dimensional bulk by introducing an imaginary gauge field. This generalizes the idea of zero-energy extended modes in the one-dimensional Su-Schrieffer-Heeger lattice into higher dimensional lattices allowing a d-dimensional bulky mode that is topologically protected. Furthermore, we numerically demonstrate that the topological bulk lasing mode can achieve high temporal stability superior to topological edge mode lasers. In the exemplified topological extended mode in the kagome lattice, we show that large regions of stability exist in its parameter space.

arXiv comment10 pages, 10 figures

References in corpus (22)

• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Localization transitions in non-Hermitian quantum mechanics
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Training of photonic neural networks through in situ backpropagation
• Novel Topological Phase with Zero Berry Curvature
• Corner states of light in photonic waveguides
• Topological Hybrid Silicon Microlasers
• Topologically protected midgap states in complex photonic lattices
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Experimental observation of bulk and edge transport in photonic Lieb lattices
• Lattice models with exactly solvable topological hinge and corner states
• Non-Hermitian gauged topological laser arrays
• Suppressing spatio-temporal lasing instabilities with wave-chaotic microcavities
• Gapless Unidirectional Photonic Transport Using All-Dielectric Kagome Lattices
• Topologically robust transport of entangled photons in a 2D photonic system
• On the topological immunity of corner states in two-dimensional crystalline insulators
• A group theoretical route to deterministic Weyl points in chiral photonic lattices
• Anatomy of Topological Surface States: Exact Solutions from Destructive Interference on Frustrated Lattices
• Analytic Theory of Edge Modes in Topological Insulators
• Boundaries of boundaries: a systematic approach to lattice models with solvable boundary states of arbitrary codimension

Cited by in corpus (8)

• Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
• Corner modes of the breathing kagome lattice: origin and robustness
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Tunable two-dimensional laser arrays with zero-phase locking
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Topological phase transition in fluctuating imaginary gauge fields
• Pseudo-Hermitian extensions of the harmonic and isotonic oscillators
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice