343 citations · 1.4k across the 38 of their papers we have counts for
6 papers · 1 filter
Dynamic gain and frequency comb formation in exceptional-point lasers
Xingwei Gao, Hao He, Scott Sobolewski +2
Exceptional points (EPs) -- singularities in the parameter space of non-Hermitian systems where two nearby eigenmodes coalesce -- feature unique properties with applications such a…
Local markers for crystalline topology
Alexander Cerjan, Terry A. Loring, Hermann Schulz-Baldes
Over the last few years, crystalline topology has been used in photonic crystals to realize edge- and corner-localized states that enhance light-matter interactions for potential d…
Probing topology in nonlinear topological materials using numerical -theory
Stephan Wong, Terry A. Loring, Alexander Cerjan
Nonlinear topological insulators have garnered substantial recent attention as they have both enabled the discovery of new physics due to interparticle interactions, and may have a…
Even spheres as joint spectra of matrix models
Alexander Cerjan, Terry A. Loring
The Clifford spectrum is a form of joint spectrum for noncommuting matrices. This theory has been applied in photonics, condensed matter and string theory. In applications, the Cli…
Spectral localizer for line-gapped non-hermitian systems
Alexander Cerjan, Lars Koekenbier, Hermann Schulz-Baldes
Short-ranged and line-gapped non-hermitian Hamiltonians have strong topological invariants given by an index of an associated Fredholm operator. It is shown how these invariants ca…
Classifying topology in photonic heterostructures with gapless environments
Kahlil Y. Dixon, Terry A. Loring, Alexander Cerjan
Photonic topological insulators exhibit bulk-boundary correspondence, which requires that boundary-localized states appear at the interface formed between topologically distinct in…