  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 or moving the right boundary site while keeping
the left boundary site driven by a periodically oscillating field with a fixed
driving parameter. In particular, the transition direction shows odd-even
sensitivity to the number of lattice sites. We have also revealed that our
proposed CDT-CT transition is robust against the second order coupling (SOC)
between next-nearest-neighbor sites in odd-$N$-site systems, whereas
localization can be significantly enhanced by SOC in even-$N$-site systems.
More interestingly, it is found destruction and revival of CDT observable in
non-high-frequency regimes. Our results can be readily verified within the
capacity of current experiments.

Quantum Physics;Mesoscale and Nanoscale Physics