Transition between extended and localized states in a one-dimensional incommensurate optical lattice

Author :Roberto B. Diener, Georgios A. Georgakis, Jianxin Zhong, Mark Raizen, and Qian Niu
Publication :Physical Review A
Volume :64
Number :033416
Pages :1-7
Year :2001

We study the localization properties of a one-dimensional incommensurate potential in the full quantum
regime. In the system under consideration, and for amplitudes of the potential that are not too weak, the
spectrum contains both localized and extended states, with one or more mobility edges. We show how these
properties can be experimentally studied through the diffusion of wave packets in a one-dimensional incommensurate
optical lattice.