2 citations · 7 across the 12 of their papers we have counts for
14 papers
Spectral Theory of an Exactly Solvable Quantum-Optical Oscillator
Sam Johar, Joseph Kraisler
We study a one-dimensional single-excitation model of a scalar photon field coupled to a continuum of two-level atoms with quadratic density. The resulting matrix Hamiltonian has a…
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…
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…
Dynamic One Photon Localization in a Discrete Model of Quantum Optics
Joseph Kraisler, Jeffrey Schenker, John C. Schotland
We consider a recently proposed model for the propagation of one-photon states in a random medium of two-level atoms. We demonstrate the existence of Anderson localization of singl…
Kinetic equations for real scalar fields coupled to a continuum of atoms
Joseph Kraisler, Joonsoo Lee
We consider a model of a scalar field, with dispersion relation ω(k), coupled to a random medium of two level atoms. We investigate the dynamics of states with at most one quanta o…
Nonlocal PDEs and quantum optics: band structure of periodic atomic sytems
Erik Orvehed Hiltunen, Joseph Kraisler, John C. Schotland +1
We continue our study of the quantum optics of a single photon interacting with a system of two level atoms. In this work we investigate the case of a periodic arrangement of atoms…
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…
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…
Kinetic equations for two-photon light in random media
Joseph Kraisler, John C. Schotland
We consider the propagation of light in a random medium of two-level atoms. We investigate the dynamics of the field and atomic probability amplitudes for a two-photon state and sh…
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…
Collective Spontaneous Emission in Random Media
Joseph Kraisler, John C Schotland
We consider the theory of spontaneous emission for a random medium of stationary two-level atoms. We investigate the dynamics of the field and atomic probability amplitudes for a o…
Circulant q-Butson Hadamard matrices
Trevor Hyde, Joseph Kraisler
If is a prime power, then a -dimensional \emph{-Butson Hadamard matrix} is a matrix with all entries th roots of unity such that . W…