Phonon-induced artificial magnetic fields in optical latticesA. 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.
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