标题： Lieb-Robinson界限，自同态等价性和LPPL对于长程相互作用费米子 显示英文标题

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

摘要： 我们证明了具有多项式衰减相互作用的格点费米子模型的Lieb-Robinson界限，该界限可用于证明准局部逆Liouvillian的局域性。 这使我们能够证明这些系统的自同构等价性和局部扰动局部有效（LPPL）原理。 Lieb-Robinson界限的证明基于Else等人的工作（2020年），我们的结果也适用于自旋系统。 我们解释了为什么一些针对长程自旋系统的较新的Lieb-Robinson界限无法用于证明准局部逆Liouvillian的局域性，在某些情况下甚至可能不适用于费米子系统。 显示英文摘要

摘要： 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.