Engineering interactions and anyon statistics by multicolor lattice-depth modulations

TL;DR

This paper demonstrates how multicolor lattice-depth modulations enable precise control over various interactions and gauge fields in ultra-cold atom systems, facilitating the engineering of complex lattice models including anyon-Hubbard models.

Contribution

It introduces a versatile method for independently tuning correlated hopping, gauge fields, and interactions in optical lattices without Feshbach resonances, expanding experimental capabilities.

Findings

Controlled correlated hopping and gauge fields achieved

Realization of extended and anyon-Hubbard models

Minimal experimental complexity for complex lattice engineering

Abstract

We show that a multicolor modulation of the depth of an optical lattice allows for a flexible independent control of correlated hopping, occupation-dependent gauge fields, effective on-site interactions without Feshbach resonances, and nearest-neighbor interactions. As a result, the lattice-depth modulation opens the possibility of engineering with minimal experimental complexity a broad class of lattice models in current experiments with ultra-cold atoms, including Hubbard models with correlated hopping, peculiar extended models, and two-component anyon-Hubbard models.