Coherent destruction of tunneling in a lattice array with controllable boundary

Abstract

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.

7 pages, 8 figures, the final version for pubilication in PHYSICAL REVIEW A 91, 063804 (2015)

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Cited by in corpus (5)

• Coherent control of dissipative dynamics in a periodically driven lattice array
• Tunable quantum interference effects in Floquet two- and three-level systems
• Resonant edge-site pumping of polaritonic Su-Schrieffer-Heeger lattices
• Coherent control of spin tunneling in a spin-orbit coupled bosonic triple well
• Edge Localized Schrödinger Cat States in Finite Lattices via Periodic Driving