5 papers
Bound States in Exactly Solvable Polaritonic Models
Sam Johar, Ryogo Katahira, Joseph Kraisler
We study a one-dimensional scalar model for an effective-mass quasiparticle field coupled to a continuum of two-level atoms with at most one excitation present. We prove a general…
Dispersive Estimates for Dirac Operators with General Domain Walls: One and Two Dimensions
M. Burak Erdogan, Joseph Kraisler, Amir Sagiv
We establish dispersive decay estimates for two-dimensional Dirac equations with bounded and unbounded domain walls, together with estimates for the analogous one-dimensional probl…
Transport models for wave propagation in scattering media with nonlinear absorption
Joseph Kraisler, Wei Li, Kui Ren +2
This work considers the propagation of high-frequency waves in highly-scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wign…
On the Time-decay of solutions arising from periodically forced Dirac Hamiltonians
Joseph Kraisler, Amir Sagiv, Michael I. Weinstein
There is increased interest in time-dependent (non-autonomous) Hamiltonians, stemming in part from the active field of Floquet quantum materials. Despite this, dispersive time-deca…
One- and Two-Photon Localization in Quantum Optics
Joseph Kraisler, John C. Schotland
We consider the lattice analog of a recently proposed continuum model for the propagation of one- and two-photon states in a random medium. We find that there is localization of si…