Generalized rotating-wave approximation to biased  qubit-oscillator systems

Yu-Yu Zhang; Qing-Hu Chen; and Yang Zhao

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Generalized rotating-wave approximation to biased qubit-oscillator systems

Yu-Yu Zhang 1, Qing-Hu Chen 2, and Yang Zhao 3

1.Center for Modern Physics, Chongqing University, Chongqing400044, P. R. China

2.Department of Physics, Zhejiang University, Hangzhou 310027,P. R. China

3.Division of Materials Science, Nanyang Technological University, Singapore 639798

*Correspondence author

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Funding: Research Fund for theDoctoral Program of Higher Education of China （No.20110191120046）

Opened online:26 September 2014

Accepted by: none

Citation: Yu-Yu Zhang, Qing-Hu Chen, and Yang Zhao.Generalized rotating-wave approximation to biased qubit-oscillator systems[OL]. [26 September 2014] http://en.paper.edu.cn/en_releasepaper/content/4610619

The generalized rotating-wave approximation with counter-rotatinginteractions has been applied toa biased qubit-oscillator system. Analytical expressions are explicitly givenfor all eigenvalues and eigenstates. For a flux qubit coupled to superconducting oscillators,spectra calculated by our approach are in excellent agreement with experiment.Calculated energy levels for a variety of biases also agree wellwith those obtained via exact diagonalization for a wide range of coupling strengths.Dynamics of the qubit has also been examined, and results lend further support to the validity of theanalytical approximation employed here. Our approachcan be readily implemented andapplied to superconductingqubit-oscillator experiments conducted currently and in the near futurewith a biased qubit and for all accessible coupling strengths.

Keywords:counter-rotating interaction,biased qubit,energy levels,dynamics

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