Free evolution of superposition states in a single Cooper pair box

We have fabricated a single Cooper-pair box (SCB) in close proximity to a single electron transistor (SET) operated in the radio-frequency mode (RF-SET) with an inductor and capacitor lithographed directly on chip. The RF-SET was used to measure the charge state of the SCB revealing a $2e$ periodic charge quantization. We performed spectroscopy measurements to extract the charging energy ${(E}_C)$ and the Josephson coupling energy ${(E}_J).\mathrm{}$ Control of the temporal evolution of the quantum charge state was achieved by applying fast dc pulses to the SCB gate. The dephasing and relaxation times were extracted from these measurements.