1 citations · 2 across the 7 of their papers we have counts for
8 papers
Strictly positive optimal Hardy weights on manifolds and graphs via Green potential
Ujjal Das, Matthias Keller, Yehuda Pinchover
Consider a subcritical functional associated with a -Schrödinger operator defined on a domain in noncompact Riemannian manifold. Employing the supersolution construction…
Generation of fully phase controlled two-photon entangled states
Ian Ford, Adrien Amour, Matthias Keller
Control over the internal states of trapped ions makes them the ideal system to generate single and two-photon states. Coupling a single ion to an optical cavity enables efficient…
Coulomb crystallization of xenon highly charged ions in a laser-cooled Ca+ matrix
Leonid Prokhorov, Aaron A. Smith, Mingyao Xu +17
We report on the sympathetic cooling and Coulomb crystallization of xenon highly charged ions (HCIs) with laser-cooled Ca ions. The HCIs are produced in a compact electron beam…
On the Landis Conjecture for Positive Quasi-linear Operators on Graphs
Ujjal Das, Matthias Keller, Yehuda Pinchover
We prove a Landis type unique continuation result for positive quasi-linear operators on graphs. Specifically, we give decay criteria that ensures when a harmonic function for a po…
On Hodge Laplacians on General Simplicial Complexes
Philipp Bartmann, Matthias Keller
We study Laplacians on general countable weighted simplicial complexes from a conceptual point of view. These operators will first be introduced formally before showing that those…
Resonator-assisted quantum transduction between superconducting qubits and trapped atomic systems via Rydberg levels
Fernando L. Semião, Matthias Keller
Using a shared microwave resonator, we propose a transduction scheme between superconducting qubits and qubit states encoded in the low-lying internal levels of trapped atomic syst…
On Landis' conjecture for positive Schrödinger operators on graphs
Ujjal Das, Matthias Keller, Yehuda Pinchover
In this note we study the Landis conjecture for positive Schrödin\-ger operators on graphs. More precisely, we prove a Landis-type result in the form of a decay criterion that ensu…
The space of Hardy-weights for quasilinear operators on discrete graphs
Ujjal Das, Matthias Keller, Yehuda Pinchover
We study Hardy inequalities for -Schrödinger operators on general weighted graphs. Specifically, we prove a Maz'ya-type result, where we characterize the space of Hardy weights…