Issue
EPL
Volume 85, Number 1, January 2009
Article Number 13001
Number of page(s) 6
Section Atomic, Molecular and Optical Physics
DOI http://dx.doi.org/10.1209/0295-5075/85/13001
Published online 16 January 2009
EPL, 85 (2009) 13001
DOI: 10.1209/0295-5075/85/13001

Phonon-induced artificial magnetic fields in optical lattices

A. Klein1, 2 and D. Jaksch1, 2

1  Clarendon Laboratory, University of Oxford - Parks Road, Oxford OX1 3PU, UK, EU
2  Keble College, University of Oxford - Parks Road, Oxford OX1 3PG, UK, EU

dieter.jaksch@physics.ox.ac.uk

received 14 August 2008; accepted in final form 4 December 2008; published January 2009
published online 16 January 2009

Abstract
We investigate the effect of a rotating Bose-Einstein condensate on a system of immersed impurity atoms trapped by an optical lattice. We analytically show that for a one-dimensional, ring-shaped setup the coupling of the impurities to the Bogoliubov phonons of the condensate leads to a non-trivial phase in the impurity hopping. The presence of this phase can be tested by observing a drift in the transport properties of the impurities. These results are quantitatively confirmed by a numerically exact simulation of a two-mode Bose-Hubbard model. We also give analytical expressions for the occurring phase terms for a two-dimensional setup. The phase realises an artificial magnetic field and can, for instance, be used for the simulation of the quantum Hall effect using atoms in an optical lattice.

PACS
37.10.Jk - Atoms in optical lattices.
03.75.-b - Matter waves.
67.85.-d - Ultracold gases, trapped gases.

© EPLA 2009