Driven optical lattices as strong-field simulators

Distributive lattices with strong endomorphism kernel property as direct sums

Unbounded distributive lattices which have strong endomorphism kernel property (SEKP) introduced by Blyth and Silva in [3] were fully characterized in [11] using Priestley duality (see Theorem  2.8}). We shall determine the structure of special elements (which are introduced after  Theorem 2.8 under the name strong elements) and show that these lattices can be considered as a direct product of ...

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...

Transport of strong-coupling polarons in optical lattices

We study the transport of ultracold impurity atoms immersed in a BoseEinstein condensate (BEC) and trapped in a tight optical lattice. Within the strongcoupling regime, we derive an extended Hubbard model describing the dynamics of the impurities in terms of polarons, i.e. impurities dressed by a coherent state of Bogoliubov phonons. Using a generalized master equation based on this microscopic...

Jessen / Deutsch , " Optical Lattices " 1 OPTICAL LATTICES

Interaction-driven Lifshitz transition with dipolar fermions in optical lattices

The following full text is a preprint version which may differ from the publisher's version. Anisotropic dipole-dipole interactions between ultracold dipolar fermions break the symmetry of the Fermi surface and thereby deform it. Here we demonstrate that such a Fermi surface deformation induces a topological phase transition – so-called Lifshitz transition – in the regime accessible to present-...