Fabian Grusdt, Michael Fleischhauer
We study rapidly rotating Rydberg-dressed Bose gases in the fractional quantum Hall (FQH) regime. The characteristics of the Rydberg interaction gives rise to interesting many-body ground states different from standard FQH physics in the lowest Landau level (LLL). Due to the rapid fall-off of the interaction potential with distance Laughlin ground states are energetically favorable compared to noncorrelated Wigner crystals for filling fractions as low as $\nu=1/12$. Exact diagonalization studies suggest however the existence of an extended range of filling fractions with a correlated Wigner crystal ground state below $\nu\approx 1/6$. When the average particle distance becomes less than the blockade radius which describes the region of saturated, almost constant interaction potential, strongly correlated cluster liquids are found for fillings $\nu\gtrsim 1/4$ and a bubble crystal phase is predicted for smaller fillings.
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http://arxiv.org/abs/1207.3716
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