12 papers
Inverse Born series based neural operators
John C Schotland, Aseel Titi, Jenn-Nan Wang
The inverse Born series provides a general perturbative framework for representing nonlinear inverse maps between infinite-dimensional function spaces and has found numerous applic…
Quantum optics of chiral and antichiral waveguide arrays
Peng Wang, Erik Hiltunen, John C Schotland
We study single-photon scattering by atoms in arrays of one-way waveguides. We investigate both chiral and antichiral arrays, where the one-way waveguides are aligned in the same a…
Reconstruction methods for inverse scattering problems with phaseless data
John C. Schotland, Shenwen Yu
We investigate phaseless inverse scattering problem for the Schrödinger equation and develop reconstruction methods based on the inverse Born series (IBS). We consider three types…
One-photon communication in atomic media
Zixiang Hong, John C. Schotland
We consider the problem of single-photon transmission through an atomic medium, using quantum channel fidelity to describe the resulting information loss. We find that the normaliz…
Inverse Scattering for Dirac Equations Arising in Waveguide Arrays
John C. Schotland, Shenwen Yu
We investigate inverse scattering problems for Dirac equations that arise as continuum models of waveguide arrays. We first establish the well-posedness of the forward models. For…
Quantum field theory and inverse problems: Imaging with Entangled Photons
Matti Lassas, Medet Nursultanov, Lauri Oksanen +1
We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to u…