Fractional Quantum Hall Effect in Optical Lattices

POSTER

Abstract

We investigate the methods to create fractional quantum Hall states of atoms confined in optical lattices. Specifically, the dynamics of ultra-cold atoms on a lattice with an effective magnetic field is investigated for different values of field and on-site interaction. An appropriate characterization of such quantum states can be achieved by using Chern numbers which can indicate a topological order and describe the state of the system in different regimes. Numerical calculation supports the existence of fractional statistics. We also discuss the practical realization of such states and techniques for their detection.

Authors

  • Mohammad Hafezi

    Physics Department, Harvard University, Cambridge, MA 02138

  • Anders S{\o}rensen

    Niels Bohr Institute, Niels Bohr Institute, Copenhagen, Denmark, Niels Bohr Institute, University of Copenhagen, Denmark

  • Eugene Demler

  • Mikhail Lukin

    Physics Department, Harvard University, Cambridge, MA, Harvard University Department of Physics, Physics Department, Harvard University, Cambridge, MA 02138