2007/08/31 by Yosuke Kayanuma, Keiji Saito · 2 citations
Physics and Astronomy · #cond-mat.mes-hall
paper · pdf · doi:10.1103/physreva.77.010101
published as Phys. Rev. A 77, 010101(R) (2008) · 5 pages, no figure
arxiv created 2008/02/08 · arxiv updated 2009/12/01
We clarify the internal relationship between the coherent destruction of tunneling (CDT) for a two-state model and the dynamic localization (DL) for a one-dimensional tight-binding model, under the periodical driving field. The time-evolution of the tight-binding model is reproduced from that of the two-state model by a mapping of equation of motion onto a set of \rm SU(2) operators. It is shown that DL is effectively an infinitely large dimensional representation of the CDT in the \rm SU(2) operators. We also show that both of the CDT and the DL can be interpreted as a result of destructive interference in repeated Landau-Zener level-crossings.