Lieb-robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in Rd

Martin Gebert, Bruno Nachtergaele, Jake Reschke, Robert Sims

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce a class of UV-regularized two-body interactions for fermions in Rd and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems. As a step toward this result, we also prove a propagation bound of Lieb-Robinson type for Schrödinger operators. We apply the propagation bound to prove the existence of infinite-volume dynamics as a strongly continuous group of automorphisms on the CAR algebra.

MSC Codes 82C10 (Primary) 82C21 (Secondary)

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Dec 28 2019

ASJC Scopus subject areas

  • General

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