Statistical Transmutation in Periodically Driven Optical Lattices

ORAL

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.

*This work was supported by the PFC-JQI (T.S.), USARO and Simons Foundation (V.G.), and DOE contract DE-FG02-08ER46482 (A.K.)

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Authors

  • Tigran Sedrakyan

    • Fine Theoretical Physics Institute, Univ of Minnesota and Physics Frontier Center, Joint Quantum Institute, Univ of Maryland
    • W. I. Fine Theoretical Physics Institute, University of Minnesota, Joint Quantum Institute, University of Maryland - College Park

  • Victor Galitski

    • Univ of Maryland-College Park
    • University of Maryland, College Park
    • Condensed Matter Theory Center and Joint Quantum Institute, University of Maryland, College Park
    • Joint Quantum Institute, University of Maryland - College Park

  • Alex Kamenev

    • W. I. Fine Theoretical Physics Institute, University of Minnesota
    • Univ of Minnesota - Twin Cities
    • University of Minnesota