Sørensen, Anders S.Demler, EugeneLukin, Mikhail2016-08-242005Sørensen, Anders S., Eugene Demler, and Mikhail D. Lukin. 2005. “Fractional Quantum Hall States of Atoms in Optical Lattices.” Physical Review Letters 94 (8) (March 2). doi:10.1103/physrevlett.94.086803.0031-9007http://nrs.harvard.edu/urn-3:HUL.InstRepos:27899423We 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.en-USJournal Article2016-08-2410.1103/physrevlett.94.086803