Abstract

We perform an analysis of the role played by impurities in the fractional quantum Hall effect, that is, the mechanism that causes, in the lowest Landau level regime, the formation of plateaux in the resistivity as a function of the magnetic applied field. To this end within the framework of quantum simulation, we consider an impurity immersed in a small ultracold quantum bosonic gas trapped in a rapidly rotating potential (which generates an artificial magnetic field), an experimentally realistic system adequate to realize quantum Hall effects. We use exact diagonalization for few atoms and apply the linear response theory to simulate the transport equation. We provide a proposal of a theoretical technique to detect the up-to-now elusive presence of strongly correlated states related to fractional filling factors in the context of ultracold atoms. We analyse for the first time, the conditions under which these strongly correlated states are associated to the presence of the plateaux.