Journal
PHYSICAL REVIEW A
Volume 79, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.79.032301
Keywords
eigenvalues and eigenfunctions; matrix algebra; multiphoton processes; perturbation theory; quantum computing; quantum interference phenomena; Schrodinger equation
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Funding
- NSF [DMR-0325551, PHY-0757194]
- Biosciences Division of the Office of Basic Energy Sciences
- U. S. Department of Energy
- Direct For Mathematical & Physical Scien
- Division Of Physics [0757194] Funding Source: National Science Foundation
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We present a Floquet treatment of multiphoton quantum interference in a strongly driven superconducting flux qubit. The periodically time-dependent Schrodinger 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 NxN 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.
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