Avoided crossing and sub-Fourier-sensitivity in driven quantum systems

David Cubero, Gordon R.M. Robb, Ferruccio Renzoni

    Research output: Contribution to journalArticle

    Abstract

    The response of a linear system to an external perturbation is governed by the Fourier limit, with the inverse of the interaction time constituting a lower limit for the system bandwidth. This does not hold for nonlinear systems, which can thus exhibit sub-Fourier-behavior. The present Letter identifies a mechanism for sub-Fourier-sensitivity in driven quantum systems, which relies on avoided crossing between Floquet states. Features up to three orders of magnitude finer than the Fourier limit are presented.

    LanguageEnglish
    Article number213904
    Number of pages5
    JournalPhysical Review Letters
    Volume121
    Issue number21
    DOIs
    Publication statusPublished - 21 Nov 2018

    Fingerprint

    sensitivity
    linear systems
    nonlinear systems
    bandwidth
    perturbation
    interactions

    Keywords

    • quantum systems
    • Fourier limit
    • Floquet states

    Cite this

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    abstract = "The response of a linear system to an external perturbation is governed by the Fourier limit, with the inverse of the interaction time constituting a lower limit for the system bandwidth. This does not hold for nonlinear systems, which can thus exhibit sub-Fourier-behavior. The present Letter identifies a mechanism for sub-Fourier-sensitivity in driven quantum systems, which relies on avoided crossing between Floquet states. Features up to three orders of magnitude finer than the Fourier limit are presented.",
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    Avoided crossing and sub-Fourier-sensitivity in driven quantum systems. / Cubero, David; Robb, Gordon R.M.; Renzoni, Ferruccio.

    In: Physical Review Letters, Vol. 121, No. 21, 213904, 21.11.2018.

    Research output: Contribution to journalArticle

    TY - JOUR

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    AU - Cubero, David

    AU - Robb, Gordon R.M.

    AU - Renzoni, Ferruccio

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    N2 - The response of a linear system to an external perturbation is governed by the Fourier limit, with the inverse of the interaction time constituting a lower limit for the system bandwidth. This does not hold for nonlinear systems, which can thus exhibit sub-Fourier-behavior. The present Letter identifies a mechanism for sub-Fourier-sensitivity in driven quantum systems, which relies on avoided crossing between Floquet states. Features up to three orders of magnitude finer than the Fourier limit are presented.

    AB - The response of a linear system to an external perturbation is governed by the Fourier limit, with the inverse of the interaction time constituting a lower limit for the system bandwidth. This does not hold for nonlinear systems, which can thus exhibit sub-Fourier-behavior. The present Letter identifies a mechanism for sub-Fourier-sensitivity in driven quantum systems, which relies on avoided crossing between Floquet states. Features up to three orders of magnitude finer than the Fourier limit are presented.

    KW - quantum systems

    KW - Fourier limit

    KW - Floquet states

    UR - https://arxiv.org/abs/1811.00587

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    DO - 10.1103/PhysRevLett.121.213904

    M3 - Article

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    JO - Physical Review Letters

    T2 - Physical Review Letters

    JF - Physical Review Letters

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