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.

Original languageEnglish (US)
Pages (from-to)3609-3637
Number of pages29
JournalAnnales Henri Poincare
Volume21
Issue number11
DOIs
StatePublished - Nov 1 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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