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math-ph2019★ 1 cited
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…
math-ph2017
Resonances on regular tree graphs
Olivier Bourget, Diomba Sambou, Amal Taarabt
We investigate the distribution of the resonances near spectral thresholds of Laplace operators on regular tree graphs with -fold branching, , perturbed by nonself-adj…