Supersymmetric non-Hermitian topological interface laser

Abstract

We investigate laser emission at the interface of a topological and trivial phases with loss and gain. The system is described by a Su-Schrieffer-Heeger model with site-dependent hopping parameters. We study numerically and analytically the interface states. The ground state is described by the Jackiw-Rebbi mode with a pure imaginary energy, reflecting the non-Hermiticity of the system. It is strictly localized only at the A sites. We also find a series of analytic solutions of excited states based on SUSY quantum mechanics, where the A and B sites of the bipartite lattice form SUSY partners. We then study the system containing loss and gain with saturation. The Jackiw-Rebbi mode is extended to a nonlinear theory, where B sites are also excited. The relative phases between A and B sites are fixed, and hence it will serve as a large area coherent laser.

11 pages, 7 pages

References in corpus (11)

• 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
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Topological quantum matter in synthetic dimensions
• Photonic crystal nanocavity based on a topological corner state
• Active topological photonics
• Supersymmetric Laser Arrays
• Optical isolation with nonlinear topological photonics
• Supersymmetric microring laser arrays
• Floquet topological insulator laser

Cited by in corpus (2)

• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Instanton-Induced Supersymmetry Breaking in Topological Semimetals