Interaction and entanglement engineering in driven giant atoms setup with coupled resonator waveguide

We investigate the coherent interactions mediated by the coupled resonator waveguide between two types of giant atoms. We find that the effective coupling and collective dissipation can be controlled on demand by adjusting the configuration of the giant atoms. As a result, the external driving gives birth to a substantial entanglement between two giant atoms, which exhibits a Rabi splitting character. {In the three giant atom setup, we find that the nonzero next neighbour atomic entanglement can surpass the neighbour ones, and is able to be adjust by tuning the driving phase, which serves as an artificial magnetic field. The enhancement of next neighbour atomic entanglement can not be realized in the small atom setup.} We hope these controllable interactions in giant atom array are of great applications in the quantum information process.