Gor A. Abovyan, Gagik Yu. Kryuchkyan
We analyse dynamics of superconducting qubit and phenomenon of multi-order Rabi oscillations in the presence of time-modulated external field. Such field is also presented as a bichromatic field consisting of two spectral components, which are symmetrically detuned from the qubit resonance frequency. This approach lead to obtaining new qualitative quantum effects that were not considered in the case of monochromatic excitation of qubits. We calculate Floquet states and quasienergies of the composite system "superconducting qubit plus time-modulated field" for various resonant regimes. We analyse dependence of quasiergies from the amplitude of external field demonstrating the zeros of difference between quasienergies. We show that, as a rule, populations of qubit states exhibit aperiodic oscillations, but we demonstrate the specific important regimes in which dynamics of populations becomes periodically regular.
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http://arxiv.org/abs/1305.5039
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