Abstract: A review is presented of recent research by the authors and their collaborators, including two papers published in 2005 in Physical Review Letters. The two main topics are: (1) The quantum“ Bang- Bang” control of a superconducting charge qubit is utilized to cool its coupled nano-mechanical resonator so that the ground state can be reached, by means of which the GHz oscillating nano-mechanical resonator can display the enriching quantum effect; (2)The physical realization of Δ type artificial atoms as a superconducting circuit and the exotic features of its adiabatic manipulation. To understand fully the physics and potential application in modern technology of these two topics, we also review their background relevant to the cavity quantum electrodynamics structure based solid state artificial atoms formed by superconducting circuits and the GHz oscillating nano-systems with certain strong couplings.