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arXiv · 1506.00721

Statistical transmutation in Floquet driven optical lattices

Tigran A. Sedrakyan·Victor M. Galitski·Alex Kamenev
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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.

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Tigran A. Sedrakyan, Victor M. Galitski, Alex Kamenev. 2015-06-02. Statistical transmutation in Floquet driven optical lattices. https://doi.org/10.1103/physrevlett.115.195301

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