2 papers
quant-ph2026
Spectral analysis of three-state quantum walks with general coin matrices
Chusei Kiumi, Jirô Akahori, Takuya Watanabe +1
Mathematical analysis of the spectral properties of the time evolution operator in quantum walks is essential for understanding key dynamical behaviors such as localization and lon…
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…