Simulating an interacting gauge theory with ultracold Bose gases

Here, we will discuss how one can create artificial gauge fields for an ensemble of interacting ultracold bosonic atoms using the interacting dressed states of the light-matter coupling. Until now, all experimental gauge potentials have been static. We will show how to induce a U(1) interacting gauge field, such that there is an effective back-action between the emergent gauge potential and the matter field. By performing the appropriate transformation, the gauge field appearing in the quasi one-dimensional many-body equation of motion can be shown to be equivalent with a current operator. The resulting non-linear equation of motion can be solved exactly to yield chiral solitons as well as critical particle numbers required for the onset of rotation of a condensate in a ring geometry Finally, we will discuss the conditions relevant for observation of the above effects in terms of scattering lengths and the two-photon Rabi frequency.