title: Synthetic gauge fields in synthetic dimensions.
abstract: We describe a simple technique for generating a cold-atom lattice pierced by a uniform magnetic field. Our method is to extend a one-dimensional optical lattice into the "dimension" provided by the internal atomic degrees of freedom, yielding a synthetic two-dimensional lattice. Suitable laser coupling between these internal states leads to a uniform magnetic flux within the two-dimensional lattice. We show that this setup reproduces the main features of magnetic lattice systems, such as the fractal Hofstadter-butterfly spectrum and the chiral edge states of the associated Chern insulating phases.
authors.affiliation: ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), Spain.
authors.forename: A
authors.initials: A
authors.lastname: Celi
authors.affiliation: ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), Spain.
authors.forename: P
authors.initials: P
authors.lastname: Massignan
authors.affiliation: Institute of Theoretical Physics and Astronomy, Vilnius University, A. Goštauto 12, Vilnius 01108, Lithuania.
authors.forename: J
authors.initials: J
authors.lastname: Ruseckas
authors.affiliation: Laboratoire Kastler Brossel, CNRS, UPMC, ENS, 24 rue Lhomond, F-75005 Paris, France.
authors.forename: N
authors.initials: N
authors.lastname: Goldman
authors.affiliation: Joint Quantum Institute, University of Maryland, College Park, Maryland 20742-4111, USA and National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA.
authors.forename: I B
authors.initials: IB
authors.lastname: Spielman
authors.affiliation: Institute of Theoretical Physics and Astronomy, Vilnius University, A. Goštauto 12, Vilnius 01108, Lithuania.
authors.forename: G
authors.initials: G
authors.lastname: Juzeliūnas
authors.affiliation: ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), Spain and ICREA-Institució Catalana de Recerca i Estudis Avançats, E-08010 Barcelona, Spain.
authors.forename: M
authors.initials: M
authors.lastname: Lewenstein