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

TL;DR

This paper proposes a simple optical lattice scheme to realize 1D anyons with ultracold bosons, enabling experimental exploration of anyonic statistics and their signatures through observable phenomena like Friedel oscillations.

Contribution

It introduces a laser-free method for simulating 1D anyons using lattice shaking and discusses experimental signatures of anyonic interpolation.

Findings

Proposes a laser-free scheme for 1D anyons in optical lattices.

Identifies Friedel oscillations as signatures of anyonic statistics.

Describes continuous interpolation between bosons and fermions.

Abstract

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 $\pi$. Since the anyonic momentum distribution is not measurable in the bosonic representation of the anyon model, we propose to use Friedel oscillations in small systems as an alternative probe.