# Nonlinear caging in all-bands-flat lattices

@article{Danieli2021NonlinearCI,
title={Nonlinear caging in all-bands-flat lattices},
author={Carlo Danieli and Alexei Andreanov and Thudiyangal Mithun and Sergej Flach},
journal={Physical Review B},
year={2021}
}
We study the impact of classical short-range nonlinear interactions on transport in lattices with no dispersion. The single particle band structure of these lattices contains flat bands only, and cages non-interacting particles into compact localized eigenstates. We demonstrate that there always exist local unitary transformations that detangle such lattices into decoupled sites in dimension one. Starting from a detangled representation, inverting the detangling into entangling unitary… Expand
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