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We study the dynamic behaviour of a quantum two-level system withperiodically varying parameters by solving the master equation for the densitymatrix. Two limiting cases are considered: multiphoton Rabi oscillations andLandau-Zener transitions. The approach is applied to the description of thedynamics of superconducting qubits. In particular, the case of theinterferometer-type charge qubit with periodically varying parameters (gatevoltage or magnetic flux) is investigated. The time-averaged energy levelpopulations are calculated as funtions of the qubit's control parameters.Comment: 7 pages with 5 figure

Dynamic behavior of Josephson-junction qubits: crossover between Rabi oscillations and Landau–Zener transitions