Detection of geometric phases in superconducting flux qubits

We propose a feasible experimental scheme to demonstrate the geometric phase in flux qubits by means of a detuning coherent microwave pulse technique. Through measuring the probability of the persistent current state in the flux qubits, one can detect the Berry phase that is acquired with the system’s Hamiltonian adiabatical circular evolution in the parameter space. Furthermore, we show that one could choose an appropriate amplitude of pulses in an experiment to obtain high readout resolution when the detuning frequency of the pulses is fixed, and controlled phase shift gates can be implemented based on the geometric phases by inductance coupling of two flux qubits.