6 papers
Resonant scattering for tunable quantum walks on graphs with tails
Kenta Higuchi, Ryuta Ishikawa, Hisashi Morioka +2
We study the resonant scattering for discrete time quantum walks on graphs with some tails. In our arguments, we reduce the study of resonances to the perturbation of eigenvalues o…
A microlocal Cauchy problem through a crossing point of Hamiltonian flows
Kenta Higuchi, Vincent Louatron, Kouichi Taira
In this paper, we consider matrix-valued pseudodifferential equations in which the two characteristic sets intersect with finite contact order. We show that the asympto…
Resonant tunneling effect for quantum walks on directed graphs
Kenta Higuchi
Quantum walks that depend smoothly on a small parameter are considered on directed graphs. The asymptotic behavior of the scattering matrix of the quantum walk as…
Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections
Kenta Higuchi, Takuya Watanabe
In this paper, the asymptotic behaviors of the transition probability for two-level avoided crossings are studied under the limit where two parameters (adiabatic parameter and ener…
Transition of the semiclassical resonance widths across a tangential crossing energy-level
Marouane Assal, Setsuro fujiie, Kenta Higuchi
We consider a 1D matrix-valued operator \eqref{System0} with two semiclassical Schrödinger operators on the diagonal entries and small interactions on the off-diagonal…
Résonances Semiclassiques Engendrées par des Croisements de Trajectoires Classiques
Kenta Higuchi
We consider a system of one-dimensional semiclassical Schrödinger operators with small interactions with respect to the semiclassical parameter . We study the asympto…