Topological entropy of quantum Hall states in rotating Bose gases

Through exact numerical diagonalization, the von Neumann entropy is calculated for the Laughlin and Pfaffian quantum Hall states in rotating interacting Bose gases at zero temperature in the lowest Landau level limit. The particles comprising the states are indistinguishable, so the required spatial bipartitioning is effected by tracing over a subset of single-particle orbitals. The topological entropy is then extracted through a finitesize scaling analysis. The results for the Laughlin and the Pfaffian states are consistent with the expected values of ln root 2 and ln root 4, respectively.