Lieb-Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in R-d
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Final Accepted Manuscript
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SPRINGER INTERNATIONAL PUBLISHING AGCitation
Gebert, 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/s00023-020-00959-5Journal
ANNALES HENRI POINCARERights
Copyright © 2020 Springer Nature Switzerland AG.Collection Information
This 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 repository@u.library.arizona.edu.Abstract
We 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.Note
12 month embargo; published online 24 September 2020ISSN
1424-0637EISSN
1424-0661Version
Final accepted manuscriptae974a485f413a2113503eed53cd6c53
10.1007/s00023-020-00959-5
