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math-ph2026
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…
math-ph2025
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…
math-ph2025
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…