343 citations · 1.4k across the 38 of their papers we have counts for
40 papers
Time-resolved topology of aperiodically driven systems
Justin T. Cole, Christina Jörg, Terry A. Loring +1
Topological phases of periodically driven systems are commonly classified through Floquet Hamiltonians, whose definition relies on a repeated driving cycle. However, this framework…
Generating quantum error correcting codes from topological pre-thermal scars
William N. Faugno, Frank Barrows, Terry A. Loring +2
Quantum many-body scars are rare nonthermal states embedded within otherwise thermalizing spectra, making them promising candidates for storing and manipulating quantum information…
Band Unfolding via the Quadratic Pseudospectrum
Christopher A. Bairnsfather, Ralph M. Kaufmann, Terry A. Loring +1
Band theory provides the foundation for understanding electronic structure in crystalline materials, but its reliance on exact translational symmetry limits its applicability to sy…
A Spatial Localizer for Electrons in Insulators
Haylen Gerhard, Yifan Wang, Alexander Cerjan +1
The location of electrons governs phenomena ranging from chemical bonding and electric polarization to the topological classification of band insulators and the emergence of correl…
Clifford spectrum of three 2 by 2 matrices
Alexander Cerjan, Vasile Lauric, Terry A. Loring
We prove that the Clifford spectrum associated to three 2 by 2 matrices is nonempty. The structure of Clifford is described in terms "moving" level curves. We discuss some implicat…
Efficient local classification of parity-based material topology
Stephan Wong, Ichitaro Yamazaki, Chris Siefert +3
Although the classification of crystalline materials can be generally handled by momentum-space-based approaches, topological classification of aperiodic materials remains an outst…
Probing Local Topology in a Disordered Higher-Order Topological Insulator
Johannes Düreth, Simon Widmann, Philipp Gagel +13
Higher-order topology is prized for its ability to realize lower-dimensional boundary states which are stable beyond fine-tuning. However, disorder presents a failure mechanism tha…
Semiconductor Meta-Graphene and Valleytronics
Praveen Pai, Aron W. Cummings, Alexander Cerjan +3
Nano-patterned semiconductor interfaces offer a versatile platform for creating quantum metamaterials and exploring novel electronic phenomena. In this study, we illustrate this co…
Dynamically reconfigurable topological routing in nonlinear photonic systems
Stephan Wong, Simon Betzold, Sven Hofling +1
The propagation path of topologically protected states is bound to the interface between regions with different topology, and as such, the functionality of linear photonic devices…
Detecting local topology with the spectral localizer
Alexander Cerjan, Hermann Schulz-Baldes
The spectral localizer is a predictive framework for the computation of topological invariants of natural and artificial materials. Here, three crucial improvements on the criterio…
Dimensional crossover of class D real-space topological invariants
Martin Rodriguez-Vega, Terry A. Loring, Alexander Cerjan
The topological properties of a material depend on its symmetries, parameters, and spatial dimension. Changes in these properties due to parameter and symmetry variations can be un…
Classification of Fragile Topology Enabled by Matrix Homotopy
Ki Young Lee, Stephan Wong, Sachin Vaidya +2
The moire flat bands in twisted bilayer graphene have attracted considerable attention not only because of the emergence of correlated phases but also due to their nontrivial topol…
Topological phenomena in artificial quantum materials revealed by local Chern markers
Catalin D. Spataru, Wei Pan, Alexander Cerjan
A striking example of frustration in physics is Hofstadter's butterfly, a fractal structure that emerges from the competition between a crystal's lattice periodicity and the magnet…
Bi-stability and period-doubling cascade of frequency combs in exceptional-point lasers
Xingwei Gao, Hao He, Weng W. Chow +2
Recent studies have demonstrated that a laser can self-generate frequency combs when tuned near an exceptional point (EP), where two cavity modes coalesce. These EP combs induce pe…
Topological photonic crystal fibre
Bofeng Zhu, Kevin Hean, Stephan Wong +8
Photonic crystal fibres (PCFs) are optical fibres that guide light using a modulated dielectric medium. They provide an exceptionally versatile platform for various applications, t…
Quasinormal coupled-mode analysis of dynamic gain in exceptional-point lasers
Hao He, Xingwei Gao, Alexander Cerjan +1
One of the key features of lasers operating near exceptional points (EPs) is that the gain medium can support an oscillating population inversion above a pump threshold, leading to…
Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical -Theory
Alexander Cerjan, Terry A. Loring
Recently, the spectral localizer framework has emerged as an efficient approach to classifying topology in photonic systems featuring local nonlinearities and radiative environment…
Quantitative measure of topological protection in Floquet systems through the spectral localizer
Stephan Wong, Alexander Cerjan, Justin T. Cole
The standard understanding of topological protection from band theory is that a system's topology cannot change without first closing the bulk band gap. However, in Floquet systems…
Multivariable pseudospectrum in -algebras
Alexander Cerjan, Vasile Lauric, Terry A. Loring
We look at various forms of spectrum and associated pseudospectrum that can be defined for noncommuting -tuples of Hermitian elements of a -algebra. The emphasis is on theo…
Classifying topology in photonic crystal slabs with radiative environments
Stephan Wong, Terry A. Loring, Alexander Cerjan
In the recent years, photonic Chern materials have attracted substantial interest as they feature topological edge states that are robust against disorder, promising to realize def…
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…