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

    Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering

    Thumbnail
    Date Issued
    2015-03-01
    Publisher Version
    10.1080/00018732.2015.1055918
    Author(s)
    Bukov, Marin
    D'Alessio, Luca
    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/2144/35970
    Version
    Accepted manuscript
    Citation (published version)
    Marin Bukov, Luca D'Alessio, Anatoli Polkovnikov. 2015. "Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering." ADVANCES IN PHYSICS, Volume 64, Issue 2, pp. 139 - 226 (88). https://doi.org/10.1080/00018732.2015.1055918
    Abstract
    We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged Hamiltonian. These classes cover systems, such as the Kapitza pendulum, the Harper–Hofstadter model of neutral atoms in a magnetic field, the Haldane Floquet Chern insulator and others. In all setups considered, we discuss both the infinite-frequency limit and the leading finite-frequency corrections to the Floquet Hamiltonian. We provide a short overview of Floquet theory focusing on the gauge structure associated with the choice of stroboscopic frame and the differences between stroboscopic and non-stroboscopic dynamics. In the latter case, one has to work with dressed operators representing observables and a dressed density matrix. We also comment on the application of Floquet Theory to systems described by static Hamiltonians with well-separated energy scales and, in particular, discuss parallels between the inverse-frequency expansion and the Schrieffer–Wolff transformation extending the latter to driven systems.
    Collections
    • CAS: Physics: Scholarly Papers [414]
    • BU Open Access Articles [4757]


    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