16 citations · 40 across the 13 of their papers we have counts for
6 papers · 1 filter
Dispersive decay estimates for Dirac equations with a domain wall
Joseph Kraisler, Amir Sagiv, Michael I. Weinstein
Dispersive time-decay estimates are proved for a one-parameter family of one-dimensional Dirac Hamiltonians with dislocations; these are operators which interpolate between two pha…
Nonlocal PDEs and Quantum Optics: Bound States and Resonances
Erik Orvehed Hiltunen, Joseph Kraisler, John C Schotland +1
We consider the quantum optics of a single photon interacting with a system of two level atoms. This leads to the study of a nonlinear eigenproblem for a system of nonlocal partial…
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.,…
Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array
Qiang Du, Huaiyu Li, Michael Weinstein +1
We present discontinuous Galerkin (DG) methods for solving a first-order semi-linear hyperbolic system, which was originally proposed as a continuum model for a one-dimensional dim…
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid
Chen-Chih Lai, Michael I. Weinstein
We study the radial relaxation dynamics toward equilibrium and time-periodic pulsating spherically symmetric gas bubbles in an incompressible liquid due to thermal effects. The asy…
Near invariance of quasi-energy spectrum of Floquet Hamiltonians
Amir Sagiv, Michael I. Weinstein
The spectral analysis of the unitary monodromy operator, associated with a time-periodically (paramatrically) forced Schrodinger equation, is a question of longstanding interest. H…