Identification of strongly correlated states of cold atoms

Abstract

Using a small sample of cold bosonic atoms submitted to a strong artificial magnetic field, we obtain the ground state of the system in the lowest Landau level. Our goal is to identify the ground state obtained with the known Laughlin state. The calculations have been done by exact diagonalization of the corresponding Hamiltonian. The obtained ground state is a strongly correlated state with zero interaction. This state shows all of the characteristics familiar from the fractional quantum Hall effect.