Statistical transmutation in Floquet driven optical lattices

Tigran A Sedrakyan, Victor M Galitskiy, Alex Kamenev

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29 Citations (Scopus)


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.
Original languageEnglish
Article number195301
Pages (from-to)1-5
Number of pages5
JournalPhysical Review Letters
Issue number19
Publication statusPublished - 2015

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