Fractional quantum Hall states of atoms in optical Lattices

Details Fractional quantum Hall states of atoms in optical Lattices Fractional quantum Hall states of atoms in optical Lattices

2004-05-05

arxiv.org/abs/cond-mat/0405079v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+epsilon pages including 3 figures. V2: Changes in the presentation

Scientific paper

10.1103/PhysRevLett.94.086803

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.

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