Collective spin density excitation of fractional quantum Hall states in dilute ultra-cold Bose atoms

Abstract

We have studied collective spin density excitation of fractional quantum Hall effect (FQHE) in rotating Bose–Einstein condensation for the three filling fractions of first series of Jain’s composite fermion sequences. We have considered short-ranged contact interactions between the Bose atoms as well as long range Coulomb interactions to compare the nature of the spectra with FQHE of electrons. Using Monte-Carlo method for finite but large number of particles, the lowest order collective modes of spin-reversed sectors is calculated here, by computing the energy differences of the respective excitons from the fully polarized ground states.