M. Holthaus et Dw. Hone, LOCALIZATION EFFECTS IN AC-DRIVEN TIGHT-BINDING LATTICES, Philosophical magazine. B. Physics of condensed matter. Statistical mechanics, electronic, optical and magnetic, 74(2), 1996, pp. 105-137
We study coherent dynamics of tight-binding systems interacting with s
tatic and oscillating external fields. We consider Bloch oscillations
and Wannier-Stark localization caused by de fields, and compare these
effects to dynamic localization that occurs in the presence of additio
nal ac fields. Our analysis relies on quasienergy eigenstates, which t
ake over the role of the usual Bloch waves. The widths of the quasiene
rgy bands depend non-monotonically on the field parameters. If there i
s lattice disorder, the degree of the resulting Anderson localization
is determined by the ratio of disorder strength and quasienergy bandwi
dth. Therefore the localization lengths can be controlled, within wide
ranges, by adjusting the ac amplitude. Experimental realizations of o
ur model systems are given by semiconductor superlattices in far-infra
red laser fields, or by ultracold atoms in modulated standing light wa
ves. In both cases the system parameters, as well as the field amplitu
des and frequencies, are readily accessible to experimental control, s
uggesting these as highly attractive candidates for systematic study o
f localization phenomena.