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Open Quantum Systems Decoherence
Quantum Simulation
Resonances in finitely perturbed quantum walks, resonance expansion and generic simplicity
arXiv
Authors: Kenta Higuchi, Hisashi Morioka, Etsuo Segawa
Year
2021
Paper ID
62657
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
Abstract
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.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We define resonances for finitely perturbed quantum walks as poles of the scattering matrix in the lower half plane.
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