Quantum manipulation of tunnelling for two bosons held in a driven triple-well

Coherent control of quantum tunnelling is investigated analytically for two bosons held in a driven triple-well potential. In the high-frequency region within resonance, the non-Floquet states with slowly varying populations are constructed by the linear superposition of Floquet solutions. For the non-resonance case with appropriate reduced parameters, we obtain another set of analytical solutions and their numerical correspondences, which exhibits the selective tunnelling effect of atoms. Applying the presented analytical results, a scheme to transport two bosons from the first well to the third is suggested by adjusting the driving parameters.