%0 Journal Article
%T Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices
%A Mateusz £¿£¿cki
%A Hannes Pichler
%A Antoine Sterdyniak
%A Andreas Lyras
%A Vassilis E. Lembessis
%A Omar Al-Dossary
%A Jan Carl Budich
%A Peter Zoller
%J Physics
%D 2015
%I arXiv
%X We propose and study various realizations of a Hofstadter-Hubbard model on a cylinder geometry with fermionic cold atoms in optical lattices. The cylindrical optical lattice is created by copropagating Laguerre-Gauss beams, i.e.~light beams carrying orbital angular momentum. By strong focusing of the light beams we create a real space optical lattice in the form of rings, which are offset in energy. A second set of Laguerre-Gauss beams then induces a Raman-hopping between these rings, imprinting phases corresponding to a synthetic magnetic field (artificial gauge field). In addition, by rotating the lattice potential, we achieve a slowly varying flux through the hole of the cylinder, which allows us to probe the Hall response of the system as a realization of Laughlin's thought experiment. We study how in the presence of interactions fractional quantum Hall physics could be observed in this setup.
%U http://arxiv.org/abs/1507.00030v2