%0 Journal Article
%T Statistical transmutation in Floquet driven optical lattices
%A Tigran A. Sedrakyan
%A Victor M. Galitski
%A Alex Kamenev
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevLett.115.195301
%X 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.
%U http://arxiv.org/abs/1506.00721v2