108 citations · 130 across the 10 of their papers we have counts for
12 papers
Additive uncertainty relations via pseudospectral methods
Alexander Cerjan, Lara Ismert, Terry A. Loring
Given Hermitian observable , the variance of is given by the difference of expectations , where the expectation of an observable imp…
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…
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…
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…
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…
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…
Aperiodic Weak Topological Superconductors
I. C. Fulga, D. I. Pikulin, T. A. Loring
Weak topological phases are usually described in terms of protection by the lattice translation symmetry. Their characterization explicitly relies on periodicity since weak invaria…