Floquet formulation for the investigation of multiphoton quantum interference in a superconducting qubit driven by a strong ac field
Issue Date
2009-03-03Author
Son, Sang-Kil
Han, Siyuan
Chu, Shih-I
Publisher
American Physical Society
Type
Article
Article Version
Scholarly/refereed, publisher version
Metadata
Show full item recordAbstract
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.
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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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