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    Lieb-Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in R-d

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    Description:
    Final Accepted Manuscript
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    Author
    Gebert, Martin
    Nachtergaele, Bruno
    Reschke, Jake
    Sims, Robert
    Affiliation
    Univ Arizona, Dept Math
    Issue Date
    2020-09-24
    
    Metadata
    Show full item record
    Publisher
    SPRINGER INTERNATIONAL PUBLISHING AG
    Citation
    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/s00023-020-00959-5
    Journal
    ANNALES HENRI POINCARE
    Rights
    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 2020
    ISSN
    1424-0637
    EISSN
    1424-0661
    DOI
    10.1007/s00023-020-00959-5
    Version
    Final accepted manuscript
    ae974a485f413a2113503eed53cd6c53
    10.1007/s00023-020-00959-5
    Scopus Count
    Collections
    UA Faculty Publications

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