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Fractional Quantum Hall States of Atoms in Optical Lattices

2004/05/31 by Anders S. Sørensen, Anders S. Sorensen, Eugene Demler +1 · 9 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.94.086803

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

arxiv created 2004/07/22 · openalex publication_date 2005/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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. 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 superlattice potential. Finally, we discuss techniques to observe these strongly correlated states.

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