The Anyon Hubbard Model in One-Dimensional Optical Lattices

TL;DR

This paper proposes a feasible method to realize the anyon Hubbard model in one-dimensional optical lattices using Raman-assisted hopping, revealing rich ground state physics and novel superfluid phases.

Contribution

It introduces an improved experimental scheme for implementing the anyon Hubbard model with exact two-body hard-core constraints and controllable interactions.

Findings

Realization of the anyon Hubbard model in optical lattices.

Prediction of rich ground state phases including Mott insulators and pair superfluids.

Identification of a novel two-component superfluid with distinctive experimental signatures.

Abstract

Raman-assisted hopping may be used to realize the anyon Hubbard model in one-dimensional optical lattices. We propose a feasible scenario that significantly improves the proposal of [T. Keilmann et al., Nature Commun. 2, 361 (2011)], allowing as well for an exact realization of the two-body hard-core constraint, and for controllable effective interactions without the need of Feshbach resonances. We show that the combination of anyonic statistics and two-body hard-core constraint leads to a rich ground state physics, including Mott insulators with attractive interactions, pair superfluids, dimer phases, and multicritical points. Moreover, the anyonic statistics results in a novel two-component superfluid of holon and doublon dimers, characterized by a large but finite compressibility and a multipeaked momentum distribution, which may be easily revealed experimentally.