Resonant scattering for discrete-time quantum walks on graphs with tails is analyzed by reducing resonances to perturbations of eigenvalues in a finite-rank matrix and deriving an explicit asymptotic expansion of the scattering matrix via Kato's perturbation theory.
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Resonant scattering for tunable quantum walks on graphs with tails
Resonant scattering for discrete-time quantum walks on graphs with tails is analyzed by reducing resonances to perturbations of eigenvalues in a finite-rank matrix and deriving an explicit asymptotic expansion of the scattering matrix via Kato's perturbation theory.