Boston University Libraries OpenBU
    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    •   OpenBU
    • BU Open Access Articles
    • BU Open Access Articles
    • View Item
    •   OpenBU
    • BU Open Access Articles
    • BU Open Access Articles
    • View Item

    Replica resummation of the Baker-Campbell-Hausdorff series

    Thumbnail
    Date Issued
    2018-05-18
    Publisher Version
    10.1103/PhysRevLett.120.200607
    Author(s)
    Vajna, Szabolcs
    Klobas, Katja
    Prosen, Tomaz
    Polkovnikov, Anatoli
    Share to FacebookShare to TwitterShare by Email
    Export Citation
    Download to BibTex
    Download to EndNote/RefMan (RIS)
    Metadata
    Show full item record
    Permanent Link
    https://hdl.handle.net/2144/35956
    Version
    Accepted manuscript
    Citation (published version)
    Szabolcs Vajna, Katja Klobas, Tomaz Prosen, Anatoli Polkovnikov. 2018. "Replica resummation of the Baker-Campbell-Hausdorff series." Physical Review Letters, Volume 120, pp. 200607 - 200607. https://doi.org/10.1103/PhysRevLett.120.200607
    Abstract
    We developed a novel perturbative expansion based on the replica trick for the Floquet Hamiltonian governing the dynamics of periodically kicked systems where the kick strength is the small parameter. The expansion is formally equivalent to an infinite resummation of the Baker-Campbell-Hausdorff series in the un-driven (non-perturbed) Hamiltonian, while considering terms up to a finite order in the kick strength. As an application of the replica expansion, we analyze an Ising spin 1/2 chain periodically kicked with magnetic field of strength h, which has both longitudinal and transverse components. We demonstrate that even away from the regime of high frequency driving, the heating rate is nonperturbative in the kick strength bounded from above by a stretched exponential: e^-consth^-1/2. This guarantees existence of a very long pre-thermal regime, where the dynamics is governed by the Floquet Hamiltonian obtained from the replica expansion.
    Collections
    • CAS: Physics: Scholarly Papers [414]
    • BU Open Access Articles [4751]


    Boston University
    Contact Us | Send Feedback | Help
     

     

    Browse

    All of OpenBUCommunities & CollectionsIssue DateAuthorsTitlesSubjectsThis CollectionIssue DateAuthorsTitlesSubjects

    Deposit Materials

    LoginNon-BU Registration

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Boston University
    Contact Us | Send Feedback | Help