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math-ph2024
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…
math-ph2024
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…
math-ph2024★ 1 cited
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…