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

Sang-Kil Son (손상길), Siyuan Han (韩思远), and Shih-I Chu (朱時宜)
Phys. Rev. A 79, 032301 – Published 3 March 2009

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.

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  • Received 3 August 2008

DOI:https://doi.org/10.1103/PhysRevA.79.032301

©2009 American Physical Society

Authors & Affiliations

Sang-Kil Son (손상길)1,*, Siyuan Han (韩思远)2,†, and Shih-I Chu (朱時宜)1,‡

  • 1Department of Chemistry, University of Kansas, Lawrence, Kansas 66045, USA
  • 2Department of Physics, University of Kansas, Lawrence, Kansas 66045, USA

  • *sangkil@ku.edu
  • han@ku.edu
  • sichu@ku.edu

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Vol. 79, Iss. 3 — March 2009

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