Lieb-Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in R-d
AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherSPRINGER INTERNATIONAL PUBLISHING AG
CitationGebert, M., Nachtergaele, B., Reschke, J. et al. Lieb–Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in R-d. Ann. Henri Poincaré 21, 3609–3637 (2020). https://doi.org/10.1007/s00023-020-00959-5
JournalANNALES HENRI POINCARE
RightsCopyright © 2020 Springer Nature Switzerland AG.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractWe introduce a class of UV-regularized two-body interactions for fermions in R-d 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 Schrodinger 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.
Note12 month embargo; published online 24 September 2020
VersionFinal accepted manuscript