Phonon-induced artificial magnetic fields

TL;DR

This paper demonstrates how a rotating Bose-Einstein condensate induces artificial magnetic fields in impurity atoms trapped in optical lattices, enabling simulation of phenomena like the quantum Hall effect.

Contribution

It analytically and numerically shows how phonon-induced phases create artificial magnetic fields in impurity systems within Bose-Einstein condensates.

Findings

Impurities acquire a non-trivial phase due to phonon coupling.

Numerical simulations confirm the analytical predictions.

The phase can simulate magnetic fields for quantum Hall effect experiments.

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.