# Collective spin density excitations of fractional quantum Hall states in dilute ultracold Bose atoms

## TL;DR

This paper investigates collective spin density excitations in fractional quantum Hall states within rotating Bose-Einstein condensates, comparing effects of contact and Coulomb interactions using Monte Carlo simulations.

## Contribution

It presents the first detailed analysis of spin excitations in FQHE for Bose gases at specific Jain states, highlighting differences from electronic systems.

## Key findings

- Identified collective spin modes for Bose FQHE states.
- Compared effects of short-range and long-range interactions.
- Provided Monte Carlo-based energy spectra for large particle numbers.

## Abstract

We have studied collective spin density excitations 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 spectras 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.