One-dimensional sawtooth and zigzag lattices for ultracold atoms

TL;DR

This paper presents a method to create and control tunable optical sawtooth and zigzag lattices for ultracold atoms, enabling the study of flat band physics and quantum many-body states.

Contribution

It introduces a feasible experimental approach to fully control tunnelling parameters and convert lattice geometries, achieving nearly flat bands in sawtooth configurations.

Findings

Tunable optical sawtooth and zigzag lattices can be realized using superlattices.

A nearly flat band can be achieved in the sawtooth lattice by tuning parameters.

Bandwidth of the first excited band can be reduced to 2% of the ground bandwidth.

Abstract

We describe tunable optical sawtooth and zigzag lattices for ultracold atoms. Making use of the superlattice generated by commensurate wavelengths of light beams, tunable geometries including zigzag and sawtooth configurations can be realised. We provide an experimentally feasible method to fully control inter- ($t$) and intra- ($t'$) unit-cell tunnelling in zigzag and sawtooth lattices. We analyse the conversion of the lattice geometry from zigzag to sawtooth, and show that a nearly flat band is attainable in the sawtooth configuration by means of tuning the lattice parameters. The bandwidth of the first excited band can be reduced up to 2$\%$ of the ground bandwidth for a wide range of lattice setting. A nearly flat band available in a tunable sawtooth lattice would offer a versatile platform for the study of interaction-driven quantum many-body states with ultracold atoms.