Probing the exchange statistics of one-dimensional anyon models

TL;DR

This paper proposes a method to simulate and detect the unique exchange statistics of one-dimensional anyon models using optical lattices, fast lattice modulation, and interferometry, enabling experimental exploration of anyonic behavior.

Contribution

It introduces a feasible scheme combining lattice modulation and microwave fields to realize and probe 1D anyon models in optical lattices with boundary conditions and detection methods.

Findings

Feasible scheme for simulating 1D anyons in optical lattices.

Interferometric setup sensitive to anyonic exchange statistics.

Detection of anomalously bound pairs due to anyonic exchange.

Abstract

We propose feasible scenarios for revealing the modified exchange statistics in one-dimensional anyon models in optical lattices based on an extension of the multicolor lattice-depth modulation scheme introduced in [{Phys. Rev. A 94, 023615 (2016)}]. We show that the fast modulation of a two-component fermionic lattice gas in the presence a magnetic field gradient, in combination with additional resonant microwave fields, allows for the quantum simulation of hardcore anyon models with periodic boundary conditions. Such a semi-synthetic ring set-up allows for realizing an interferometric arrangement sensitive to the anyonic statistics. Moreover, we show as well that simple expansion experiments may reveal the formation of anomalously bound pairs resulting from the anyonic exchange.