Volume 85, Number 1, January 2009
Article Number 13001
Number of page(s) 6
Section Atomic, Molecular and Optical Physics
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

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

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.

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

© EPLA 2009