Topological Microlaser with A non-Hermitian Topological Bulk

Abstract

Bulk-edge correspondence, with quantized bulk topology leading to protected edge states, is a hallmark of topological states of matter and has been experimentally observed in electronic, atomic, photonic, and many other systems. While bulk-edge correspondence has been extensively studied in Hermitian systems, a non-Hermitian bulk could drastically modify the Hermitian topological band theory due to the interplay between non-Hermiticity and topology; and its effect on bulk-edge correspondence is still an ongoing pursuit. Importantly, including non-Hermicity can significantly expand the horizon of topological states of matter and lead to a plethora of unique properties and device applications, an example of which is a topological laser. However, the bulk topology, and thereby the bulk-edge correspondence, in existing topological edge-mode lasers is not well defined. Here, we propose and experimentally probe topological edge-mode lasing with a well-defined non-Hermitian bulk topology in a one-dimensional (1D) array of coupled ring resonators. By modeling the Hamiltonian with an additional degree of freedom (referred to as synthetic dimension), our 1D structure is equivalent to a 2D non-Hermitian Chern insulator with precise mapping. Our work may open a new pathway for probing non-Hermitian topological effects and exploring non-Hermitian topological device applications.

arXiv comment8 pages, 4 figures

References in corpus (37)

• Topological Insulators
• Topological Photonics
• Making Sense of Non-Hermitian Hamiltonians
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Non-Hermitian Physics
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Topological Acoustics
• Topological Band Theory for Non-Hermitian Hamiltonians
• Loss-induced suppression and revival of lasing
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Lasing in topological edge states of a 1D lattice
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Exceptional Points of Non-hermitian Operators
• Synthetic Dimension in Photonics
• Pump-induced Exceptional Points in Lasers
• Critical non-Hermitian Skin Effect
• Topological Hybrid Silicon Microlasers
• Topological quantum matter in synthetic dimensions
• Observation of arbitrary topological windings of a non-Hermitian band
• Topological Zero-Energy Modes in Gapless Commensurate Aubry-André-Harper Models
• Active topological photonics
• Gate-Tuned Spontaneous Exciton Insulator in Double-Quantum Wells
• An Introduction to Topological Insulators
• Exceptional Points in a Non-Hermitian Topological Pump
• Counter-propagating edge modes and topological phases of a kicked quantum Hall system
• Synthetic photonic lattices: new routes towards all-optical photonic devices
• Anomalous bulk-edge correspondence in continuous media
• Topological quantum state control through exceptional-point proximity
• Parity-time symmetry in a flat band system
• Topological theory of non-Hermitian photonic systems
• Detecting non-Bloch topological invariants in quantum dynamics
• Microwave Applications of Photonic Topological Insulators
• High-Order Adiabatic Approximation for Non-Hermitian Quantum System and Complexization of Berry's Phase
• Topological Spaser

Cited by in corpus (5)

• Minireview on Disordered Optical Metasurfaces
• A comprehensive review on developments of synthetic dimensions
• $\pi$ mode lasing in the non-Hermitian Floquet topological system
• An unusual phase transition in a non-Hermitian Su-Schrieffer-Heeger model
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses