Yu-Yu Zhang, Qing-Hu Chen
We present the generalized rotating-wave approximations to the biased qubit-oscillator system including the counter-rotating interactions analytically. Concise analytical expressions for all eigensolutions are explicitly given. The resulting energy spectrum for the biased case agree well with the numerical exact ones in a wide range of coupling strength. The dynamics of the qubit are also calculated, the validity of the presented analytical approximation is shown to be very well. The present theoretical approach can be easily implemented, and successfully applied to the present and near future superconducting qubit-oscillator coupling systems for arbitrary static bias and detunings.
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http://arxiv.org/abs/1210.5326
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