527 citations · 743 across the 10 of their papers we have counts for
10 papers
Direct Observation of Landau Levels in Silicon Photonic Crystals
Maria Barsukova, Fabien Grisé, Zeyu Zhang +7
We experimentally observe photonic Landau levels that arise due to a strain-induced pseudomagnetic field in a silicon photonic crystal slab. The Landau levels are dispersive (i.e.,…
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 Realization of a Transition Between Topological Phases Residing in the Weak and Strong Floquet Driving Regimes
Jonathan Guglielmon, Sheng Huang, Kevin P. Chen +1
A photonic Floquet topological insulator has previously been experimentally realized in an array of evanescently-coupled helical waveguides. In the topological regime probed by tha…
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…
Loop expansion and the bosonic representation of loop quantum gravity
Eugenio Bianchi, Jonathan Guglielmon, Lucas Hackl +1
We introduce a new loop expansion that provides a resolution of the identity in the Hilbert space of loop quantum gravity on a fixed graph. We work in the bosonic representation ob…
Squeezed vacua in loop quantum gravity
Eugenio Bianchi, Jonathan Guglielmon, Lucas Hackl +1
We introduce squeezed vacua in loop quantum gravity, a new overcomplete basis of states that contain prescribable correlations between geometric operators. We study the behavior of…