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.
Original language | English |
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Article number | 195301 |
Pages (from-to) | 1-5 |
Number of pages | 5 |
Journal | Physical Review Letters |
Volume | 115 |
Issue number | 19 |
DOIs | |
Publication status | Published - 2015 |