Effects of Microwave Field on Supercurrents and Entanglement in Measurement of Qubit-State Readout

We carefully investigate the effect of cavity field quantum state on the quantum entanglement and supercurrent dynamical behaviors of coupling superconducting qubits in circuit QED system. The results show that not only the time-evolving dynamics of entanglement exhibit collapse and revival oscillation behaviors，but also that the single sideband envelope of current is almost similar with the time-evolving curve of entanglement.