Statistical transmutation in Floquet driven optical lattices
Quantum Gases
2015-11-09 v2 Strongly Correlated Electrons
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.
Cite
@article{arxiv.1506.00721,
title = {Statistical transmutation in Floquet driven optical lattices},
author = {Tigran A. Sedrakyan and Victor M. Galitski and Alex Kamenev},
journal= {arXiv preprint arXiv:1506.00721},
year = {2015}
}
Comments
Main text: 4 pages, 4 figures. Supplement: 4 pages, 1 figure