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arXiv · 0808.1898

Phonon-induced artificial magnetic fields

Alexander Klein·Dieter Jaksch
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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.

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Alexander Klein, Dieter Jaksch. 2009-01-22. Phonon-induced artificial magnetic fields. https://doi.org/10.1209/0295-5075/85/13001

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