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    Floquet formulation for the investigation of multiphoton quantum interference in a superconducting qubit driven by a strong ac field

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    Issue Date
    2009-03-03
    Author
    Son, Sang-Kil
    Han, Siyuan
    Chu, Shih-I
    Publisher
    American Physical Society
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    We present a Floquet treatment of multiphoton quantum interference in a strongly driven superconducting flux qubit. The periodically time-dependent Schrödinger equation can be reduced to an equivalent time-independent infinite-dimensional Floquet matrix eigenvalue problem. For resonant or nearly resonant multiphoton transitions, we extend the generalized Van Vleck (GVV) nearly degenerate high-order perturbation theory for the treatment of the Floquet Hamiltonian, allowing the reduction of the infinite-dimensional Floquet matrix to an N×N effective Hamiltonian, where N is the number of eigenstates under consideration. The GVV approach allows accurate treatment of ac Stark shift, power broadening, time-dependent and time-averaged transition probability, etc., well beyond the rotating wave approximation. We extend the Floquet and GVV approaches for numerical and analytical studies of the multiphoton resonance processes and quantum interference phenomena for the superconducting flux qubit system (N=2) driven by intense ac fields.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1103/PhysRevA.79.032301.
    URI
    http://hdl.handle.net/1808/16208
    DOI
    https://doi.org/10.1103/PhysRevA.79.032301
    Collections
    • Chemistry Scholarly Works [506]
    Citation
    Son, Sang-Kil., Han, Siyuan., Chu, Shih-I. "Floquet formulation for the investigation of multiphoton quantum interference in a superconducting qubit driven by a strong ac field." Phys. Rev. A 79, 032301 – Published 3 March 2009. http://dx.doi.org/10.1103/PhysRevA.79.032301.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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