Floquet realization and signatures of one-dimensional anyons in an optical lattice

Understand

We propose a simple scheme for realizing the physics of 1D anyons with ultracold bosonic atoms in an optical lattice.

• It relies on lattice-shaking-induced resonant tunneling against potential off-sets created by a combination of a lattice tilt and strong on-site interactions.
• No lasers additional to those used for the creation of the optical lattice are required.
• We also discuss experimental signatures of the continuous interpolation between bosons and fermions when the statistical angle $\theta$ is varied from 0 to $\pi$.