Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session B42: Topological Bands and Nonlinearity
11:30 AM–1:30 PM,
Monday, March 6, 2023
Room: Room 318
Sponsoring
Unit:
DMP
Chair: Wonhee Ko, University of Tennessee, Knoxville
Abstract: B42.00006 : The effect of disorder and nonlinearity on topological slow light*
12:30 PM–12:42 PM
Presenter:
Jonas F Karcher
(Pennsylvania State University)
Authors:
Jonas F Karcher
(Pennsylvania State University)
Sarang Gopalakrishnan
(Princeton University)
Mikael C Rechtsman
(Pennsylvania State University)
A significant shortcoming of these waveguides is that such slow light devices suffer from a narrow bandwidth and increased backscattering due to fabrication disorder, leaving them prone to Anderson localization. Photonic topological insulators exhibit chiral edge states that are protected from backscattering. These modes
typically cross the bulk band gap over a single Brillouin zone. Recently [1], it was proposed that engineering the edge termination of a photonic Chern insulator circumvents this problem by winding the topological edge state many times around the Brillouin zone. This makes these structures suitable to host robust slow light propagation - free of Anderson localization - over a broad range of frequencies. Here, we analytically and numerically study the stability of transport properties along such edges against disorder and nonlinearity.
These efforts culminate in an expression for the optimal number of windings in the Brillouin zone given a disorder strength.
[1] J. Guglielmon and M.C. Rechtsman, PRL 122, 153904
*J.K. and M.C.R. gratefully acknowledge the support of the ARO MURI program under cooperative agreement number W911NF-22-2-0103
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