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.

Main text: 4 pages, 4 figures. Supplement: 4 pages, 1 figure

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Disorder-induced Floquet Topological Insulators
• Modulated Floquet Topological Insulators
• Composite fermion state of spin-orbit coupled bosons
• Spontaneous formation of a non-uniform chiral spin liquid in moat-band lattices

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