Influence of external fields and environment on the dynamics of a phase-qubit–resonator system

G. P. Berman, A. A. Chumak
2011 Physical Review A. Atomic, Molecular, and Optical Physics  
We analyze the dynamics of a qubit-resonator system coupled with a thermal bath and external electromagnetic fields. Using the evolution equations for the set of Heisenberg operators, that describe the whole system, we derive an expression for the resonator field, accounting for the resonator-drive,-bath, and -qubit interaction. The renormalization of the resonator frequency, caused by the qubit-resonator interaction, is accounted for. Using solutions for the resonator field, we derive the
more » ... ion describing qubit dynamics. The influence of the qubit evolution during the measurement time on the fidelity of a single-shot measurement is studied. The relation between the fidelity and measurement time is shown explicitly. Also, an expression describing relaxation of the superposition qubit state towards its stationary value is derived. The possibility of controlling this state, by varying the amplitude and frequency of drive, is shown.
doi:10.1103/physreva.83.042322 fatcat:dfi7mfbxrjdoxmpodoeewxmbjq