527 citations · 618 across the 2 of their papers we have counts for
7 papers
Moments and saturation properties of eigenstates
Martin Bojowald, Jonathan Guglielmon, Martijn van Kuppeveld
Eigenvalues are defined for any element of an algebra of observables and do not require a representation in terms of wave functions or density matrices. A systematic algebraic deri…
Landau levels in strained two-dimensional photonic crystals
J. Guglielmon, M. C. Rechtsman, M. I. Weinstein
The principal use of photonic crystals is to engineer the photonic density of states, which controls light-matter coupling. We theoretically show that strained 2D photonic crystals…
Broadband topological slow light through higher momentum-space winding
Jonathan Guglielmon, Mikael C. Rechtsman
Slow-light waveguides can strongly enhance light-matter interaction, but suffer from narrow bandwidth, increased backscattering, and Anderson localization. Edge states in photonic…
Small magnetic charges and monopoles in non-associative quantum mechanics
Martin Bojowald, Suddhasattwa Brahma, Umut Buyukcam +2
Weak magnetic monopoles with a continuum of charges less than the minimum implied by Dirac's quantization condition may be possible in non-associative quantum mechanics. If a weakl…
Fractal waveguide arrays induce maximal localization
Jonathan Guglielmon, Mikael C. Rechtsman
The ability to transmit light through an array of closely packed waveguides while minimizing interwaveguide coupling has important implications for fields such as discrete imaging…
Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
Oded Zilberberg, Sheng Huang, Jonathan Guglielmon +4
When a two-dimensional electron gas is exposed to a perpendicular magnetic field and an in-plane electric field, its conductance becomes quantized in the transverse in-plane direct…