arXiv · 2210.12592
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.
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Motohiko Ezawa, Natsuko Ishida, Yasutomo Ota, Satoshi Iwamoto. 2022-10-23. Supersymmetric non-Hermitian topological interface laser. https://doi.org/10.1103/physrevb.107.085302
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