4 citations · 5 across the 8 of their papers we have counts for
8 papers
Complex translation methods and its application to resonances for quantum walks
Kenta Higuchi, Hisashi Morioka
In this paper, some properties of resonances for multi-dimensional quantum walks are studied. Resonances for quantum walks are defined as eigenvalues of complex translated time evo…
Local scattering matrix for a degenerate avoided-crossing in the non-coupled regime
Kenta Higuchi
A Landau-Zener type formula for a degenerate avoided-crossing is studied in the non-coupled regime. More precisely, a system of first order -differential operator wit…
Resonance expansion for quantum walks and its applications to the long-time behavior
Kenta Higuchi, Hisashi Morioka, Etsuo Segawa
In this paper, resonances are introduced to a class of quantum walks on . Resonances are defined as poles of the meromorphically extended resolvent of the unitary time…
Semiclassical resonance asymptotics for systems with degenerate crossings of classical trajectories
Marouane Assal, Setsuro Fujiié, Kenta Higuchi
This paper is concerned with the asymptotics of resonances in the semiclassical limit for matrix Schrödinger operators in one dimension. We study the case wh…
Resonances in finitely perturbed quantum walks, resonance expansion and generic simplicity
Kenta Higuchi, Hisashi Morioka, Etsuo Segawa
We define resonances for finitely perturbed quantum walks as poles of the scattering matrix in the lower half plane. We show a resonance expansion which describes the time evolutio…
A discontinuity of the energy of quantum walk in impurities
Kenta Higuchi, Takashi Komatsu, Norio Konno +2
We consider the discrete-time quantum walk whose local dynamics is denoted by at the perturbed region and free at the other positions. We obtain the station…
Feynman Integral in Quantum Walk, Barrier-top Scattering and Hadamard Walk
Kenta Higuchi
The aim of this article is to relate the discrete quantum walk on with the continuous Schrödinger operator on in the scattering problem. Each point of $\m…
Resonance free domain for a system of Schrödinger operators with energy-level crossings
Kenta Higuchi
We consider a system of 1D semiclassical differential operators with two Schrödinger operators in the diagonal part and small interactions of order in the off-dia…