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arXiv · 2507.03319

Lieb-Robinson bounds, automorphic equivalence and LPPL for long-range interacting fermions

Stefan Teufel·Tom Wessel
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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.

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Stefan Teufel, Tom Wessel. 2025-12-18. Lieb-Robinson bounds, automorphic equivalence and LPPL for long-range interacting fermions. https://arxiv.org/abs/2507.03319

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