title: Statistical Transmutation in Floquet Driven Optical Lattices.
abstract: We show that interacting bosons in a periodically driven two dimensional (2D) optical lattice may effectively exhibit fermionic statistics. The phenomenon is similar to the celebrated Tonks-Girardeau regime in 1D. The Floquet band of a driven lattice develops the moat shape, i.e., a minimum along a closed contour in the Brillouin zone. Such degeneracy of the kinetic energy favors fermionic quasiparticles. The statistical transmutation is achieved by the Chern-Simons flux attachment similar to the fractional quantum Hall case. We show that the velocity distribution of the released bosons is a sensitive probe of the fermionic nature of their stationary Floquet state.
authors.affiliation: William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA.|Physics Frontier Center and Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA.
authors.forename: Tigran A
authors.initials: TA
authors.lastname: Sedrakyan
authors.affiliation: Joint Quantum Institute and Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.|School of Physics, Monash University, Melbourne, Victoria 3800, Australia.
authors.forename: Victor M
authors.initials: VM
authors.lastname: Galitski
authors.affiliation: William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA.
authors.forename: Alex
authors.initials: A
authors.lastname: Kamenev