| Ultracold gases subject to artificial magnetic fields constitute an exciting field of modern theoretical physics, even more exciting, when dipolar interparticle interactions are considered. Their long range character intrinsically allows for strongly pronounced non-local correlations opening up a rich set of competing quantum regimes. On the basis of correlation function analysis and exact diagonalization data, a selection of these regimes is theoretically discussed and explored, the focus being set on fractional quantum Hall states and the variation of the ground state structure on the way from weak to strong correlations. |
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