Statistical Transmutation in Floquet Driven Optical Lattices

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

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29 Scopus citations


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 (US)
Article number195301
JournalPhysical review letters
Issue number19
StatePublished - Nov 4 2015

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© 2015 American Physical Society.


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