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 (US) |
---|---|
Article number | 195301 |
Journal | Physical review letters |
Volume | 115 |
Issue number | 19 |
DOIs | |
State | Published - Nov 4 2015 |
Bibliographical note
Publisher Copyright:© 2015 American Physical Society.