Cold Atoms in Non-Abelian Gauge Potentials: From the Hofstadter "Moth" to Lattice Gauge Theory

TitleCold Atoms in Non-Abelian Gauge Potentials: From the Hofstadter "Moth" to Lattice Gauge Theory
Publication TypeJournal Article
Year of Publication2005
AuthorsOsterloh, K, Baig, M, Santos, L, Zoller, P, Lewenstein, M
JournalPhysical Review Letters
Volume95
Issue1
Pagination010403
Date Published06/2005
ISSN0031-9007
Abstract

We demonstrate how to create artificial external non-Abelian gauge potentials acting on cold atoms in optical lattices. The method employs atoms with k internal states, and laser assisted state sensitive tunneling, described by unitary k×k matrices. The single-particle dynamics in the case of intense U(2) vector potentials lead to a generalized Hofstadter butterfly spectrum which shows a complex mothlike structure. We discuss the possibility to realize non-Abelian interferometry (Aharonov-Bohm effect) and to study many-body dynamics of ultracold matter in external lattice gauge fields.

URLhttp://link.aps.org/doi/10.1103/PhysRevLett.95.010403
DOI10.1103/PhysRevLett.95.010403
Campus d'excel·lència internacional U A B