Matter-Wave Localization in Disordered Cold Atom Lattices

Emulating non-Abelian topological matter in cold-atom optical lattices

Certain proposed extended Bose-Hubbard models may exhibit topologically ordered ground states with excitations obeying non-Abelian braid statistics. A sufficient tuning of Hubbard parameters could yield excitation braiding rules allowing implementation of a universal set of topologically protected quantum gates. We discuss potential difficulties in realizing a model with a proposed non-Abelian ...

Localization of a matter wave packet in a disordered potential

Cold Matter Assembled Atom-by-Atom

Manuel Endres, 2, ∗ Hannes Bernien, ∗ Alexander Keesling, ∗ Harry Levine, ∗ Eric R. Anschuetz, Alexandre Krajenbrink, † Crystal Senko, Vladan Vuletic, Markus Greiner, and Mikhail D. Lukin Department of Physics, Harvard University, Cambridge, MA 02138, USA Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, CA 91125, USA Department of Physics and Researc...

Localization effects in disordered Kondo lattices

We investigate the role of localization effects in the Kondo disorder mechanism for non-Fermi liquid behavior in disordered Kondo lattices. We find that the distribution of Kondo temperatures is strongly affected by fluctuations of the conduction electron density of states, a feature neglected in the previous treatment. For moderate disorder, the self-consistent distribution of Kondo temperatur...

Cold-atom optical lattices as quantum analog simulators for aperiodic one-dimensional localization without disorder

V. W. Scarola and S. Das Sarma Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA Received 16 June 2005; published 28 April 2006 Cold-atom optical lattices allow for the study of quantum localization and mobility edges in a disorder-free environment. We predict the existence of an Anderson-like insulator with sharp mobility edge...