Lieb-Robinson bounds, automorphic equivalence and LPPL for long-range interacting fermions
Mathematical Physics
2025-12-22 v2 math.MP
Quantum Physics
Abstract
We prove a Lieb-Robinson bound for lattice fermion models with polynomially decaying interactions, which can be used to show the locality of the quasi-local inverse Liouvillian. This allows us to prove automorphic equivalence and the local perturbations perturb locally (LPPL) principle for these systems. The proof of the Lieb-Robinson bound is based on the work of Else et al. (2020), and our results also apply to spin systems. We explain why some newer Lieb-Robinson bounds for long-range spin systems cannot be used to prove the locality of the quasi-local inverse Liouvillian, and in some cases may not even hold for fermionic systems.
Keywords
Cite
@article{arxiv.2507.03319,
title = {Lieb-Robinson bounds, automorphic equivalence and LPPL for long-range interacting fermions},
author = {Stefan Teufel and Tom Wessel},
journal= {arXiv preprint arXiv:2507.03319},
year = {2025}
}
Comments
v2: improve phrasing of statements, extend discussion, fix typos