45 citations · 134 across the 21 of their papers we have counts for
17 papers · 1 filter
Fermionic quantum walkers coupled to a bosonic reservoir
Olivier Bourget, Alain Joye, Dominique Spehner
We analyse the discrete-time dynamics of a model of non-interacting fermions coupled to an infinite reservoir formed by a bosonic quantum walk on . This dynamics consi…
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…
On absolutely continuous spectrum for one-channel unitary operators
Olivier Bourget, Gregorio Moreno, Christian Sadel +1
In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We e…
Clusters of resonances for a non-selfadjoint multichannel discrete Schrödinger operator
Marouane Assal, Olivier Bourget, Pablo Miranda +1
We study the distribution of resonances for discrete Hamiltonians of the form near the thresholds of the spectrum of . Here, the unperturbed operator is a multic…
On non-selfadjoint operators with finite discrete spectrum
Olivier Bourget, Diomba Sambou, Amal Taarabt
We consider some compact non-selfadjoint perturbations of fibered one-dimensional discrete Schrödinger operators. We show that the perturbed operator exhibits finite discrete spect…
One-dimensional Discrete Anderson Model in a Decaying Random Potential: from a.c. Spectrum to Dynamical Localization
Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt
We consider a one-dimensional Anderson model where the potential decays in average like , . This simple model is known to display a rich phase diagram with different k…