Anderson localization of long-range quasi-periodic operators via Dynamical Rigidity
Zhenfu Wang, Jiangong You, Qi Zhou
TL;DR
This paper proves Anderson localization for certain long-range quasi-periodic operators using a new dynamical rigidity approach, advancing understanding of localization phenomena in complex systems.
Contribution
It introduces a novel dynamical rigidity method to establish Anderson localization in long-range quasi-periodic operators with large potentials.
Findings
Proves Anderson localization for specified operators.
Develops a new dynamical rigidity proof technique.
Extends localization results to long-range quasi-periodic systems.
Abstract
We establish Anderson localization for long-range quasi-periodic operators with large trigonometric potentials and Diophantine frequencies, the proof is based on a novel dynamical rigidity argument.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Quantum Mechanics and Non-Hermitian Physics