Fractional quantum Hall states of atoms in optical Lattices

TL;DR

This paper proposes a method to generate fractional quantum Hall states of atoms in optical lattices by simulating magnetic fields, enabling exploration of strongly correlated quantum phenomena in cold atom systems.

Contribution

It introduces a novel approach to realize fractional quantum Hall states in optical lattices through controlled tunneling and potential modulation, bridging condensed matter and cold atom physics.

Findings

Ground state of the lattice can be of fractional quantum Hall type

Method to reach these states by melting a Mott insulator

Discussion of techniques to observe these states

Abstract

We describe a method to create fractional quantum Hall states of atoms confined in optical lattices. We show that the dynamics of the atoms in the lattice is analogous to the motion of a charged particle in a magnetic field if an oscillating quadrupole potential is applied together with a periodic modulation of the tunneling between lattice sites. We demonstrate that in a suitable parameter regime the ground state in the lattice is of the fractional quantum Hall type and we show how these states can be reached by melting a Mott insulator state in a super lattice potential. Finally we discuss techniques to observe these strongly correlated states.