Demonstration of superadiabatic population transfer in superconducting qubit Project supported by the National Key Basic Research and Development Program of China (Grant No. 2016YFA0301802) and the National Natural Science Foundation of China (Grant Nos. 11274156, 11504165, 11474152, and 61521001). |
(color online) Trajectory of the qubit state vector on the Bloch sphere. (a) Evolution trajectory of the qubit in the first scheme with and without the counter-diabatic magnetic field. With no counter-diabatic control, the numerical simulations and experimental results with the evolution time of 100 ns are plotted in the red solid line and the green circles respectively. As a contrast, the blue dotted line is the superadiabatic population transfer path with the same evolution time, and purple squares are simulation results of the adiabatic evolution with the evolution time of 1000 ns. (b) Evolution trajectory of the qubit state vector with and without the counter-diabatic term H1(t) for the second scheme. With no counter-diabatic control, the red solid line and the green circles are the simulations and experimental results with the evolution time of 200 ns respectively. The superadiabatic process is plotted in the blue dotted line, and the simulation results of the adiabatic evolution with the evolution time of 2000 ns are plotted in purple squares. |