4 citations · 8 across the 5 of their papers we have counts for
11 papers
Limiting absorption principle for contractions
Joachim Asch, Olivier Bourget
We establish limiting absorption principles for contractions on a Hilbert space. Our sufficient conditions are based on positive commutator estimates. We discuss the dynamical impl…
Examples for stable quantum currents
Joachim Asch, Mohamed Mouneime
We provide a mathematical analysis of two models advocated in the theoretical and experimental condensed matter literature: the two dimensional spin- Quantum Walk and the Kago…
Engineering stable quantum currents at bulk boundaries
Joachim Asch, Olivier Bourget, Alain Joye
We study transport properties of discrete quantum dynamical systems on the lattice, in particular Coined Quantum Walks and the Chalker--Coddington model. We prove existence of a no…
Lower Bounds on the Localisation Length of Balanced Random Quantum Walks
Joachim Asch, Alain Joye
We consider the dynamical properties of Quantum Walks defined on the d-dimensional cubic lattice, or the homogeneous tree of coordination number 2d, with site dependent random phas…
Chirality induced Interface Currents in the Chalker Coddington Model
Joachim Asch, Olivier Bourget, Alain Joye
We study transport properties of a Chalker-Coddington type model in the plane which presents asymptotically pure anti-clockwise rotation on the left and clockwise rotation on the r…
Energy-time uncertainty principle and lower bounds on sojourn time
Joachim Asch, Olivier Bourget, Victor Cortes +1
One manifestation of quantum resonances is a large sojourn time, or autocorrelation, for states which are initially localized. We elaborate on Lavine's time-energy uncertainty prin…