Resonances in finitely perturbed quantum walks, resonance expansion and generic simplicity

Autor:	Higuchi, Kenta, Morioka, Hisashi, Segawa, Etsuo
Rok vydání:	2021
Předmět:	Mathematics - Spectral Theory Mathematical Physics Quantum Physics 81U24 47A70
Druh dokumentu:	Working Paper
Popis:	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 evolution in terms of resonances and corresponding Jordan chains. In particular, the decay rate of the survival probability is given by the imaginary part of resonances and the multiplicity. We prove generic simplicity of the resonances, although there are quantum walks with multiple resonances. Comment: 16 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.01345 Zobrazit plný text záznamu View this record from Arxiv