We have investigated how the dynamics of a quantum particle initially localized in the left boundary site under periodic driving can be manipulated via control of the right boundary site of a lattice array. Because of the adjustable coupling between the right boundary site and its nearest neighbor, we can realize either coherent destruction of tunneling to coherent tunneling (CDT-CT) transition or coherent tunneling to coherent destruction of tunneling (CT-CDT) transition, by driving the right boundary site while keeping the left boundary site driven by a periodically oscillating field with a fixed driving parameter. In addition, we have also revealed that our proposed CDT-CT transition is robust against the second-order coupling (SOC) between next-nearest-neighbor sites in a three-site system, whereas localization can be significantly enhanced by SOC in a four-site system.

• Received 25 February 2015

DOI:https://doi.org/10.1103/PhysRevA.91.063804