High-Field Fractional Quantum Hall Effect in Optical Lattices
Abstract
We consider interacting bosonic atoms in an optical lattice subject to a large simulated magnetic field. We develop a model similar to a bilayer fractional quantum Hall system valid near simple rational numbers of magnetic flux quanta per lattice cell. Then we calculate its ground state, magnetic lengths, fractional fillings, and find unexpected sign changes in the Hall current. Finally we study methods for detecting these novel features via shot noise and Hall current measurements.
- Publication:
-
Physical Review Letters
- Pub Date:
- May 2006
- DOI:
- arXiv:
- arXiv:cond-mat/0604600
- Bibcode:
- 2006PhRvL..96r0407P
- Keywords:
-
- 03.75.Lm;
- 32.80.Pj;
- 73.43.-f;
- Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations;
- Optical cooling of atoms;
- trapping;
- Quantum Hall effects;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 4 pages, 4 figures, accepted by PRL