Different lattice geometries with synthetic dimension

TL;DR

This paper explores how synthetic dimensions in optical lattices can be engineered to create various lattice geometries and gauge fields, enabling flexible simulation of complex quantum systems.

Contribution

It demonstrates a method to design different lattice geometries and gauge fields using synthetic dimensions with controlled tunnelings and potentials.

Findings

Successful engineering of various lattice geometries

Implementation of synthetic gauge fields in optical lattices

Enhanced flexibility in quantum simulation platforms

Abstract

The possibility of creating different geometries with the help of an extra synthetic dimension in optical lattices is studied. Additional linear potential and Raman assisted tunnelings are used to engineer well controlled tunnelings between available states. The great flexibility of the system allows us to obtain different geometries of synthetic lattices with possibility of adding synthetic gauge fields.