Density profiles for atomic quantum Hall states

Among the fascinating developments in the field of quantum gases is the possibility to study correlated states of matter in a setting that is entirely different from the traditional setting of electrons in a solid state environment. A prime example are fractional quantum Hall (qH) states, which are expected when trapped atoms are made to rotate at ultra-high angular momentum. The most direct experimental signature of electronic (fractional) qH states, the quantization of the Hall conductance, is not easily available for realizations of such states with neutral atoms. Therefore, we need to find other signatures that arise from their presence. We will show what effect these states have on the density in a variety of regimes and in particular discuss the fate of (weakly) coupled layers of rotating Bose gases.