Synthetic gauge fields in synthetic dimensions

TL;DR

This paper presents a straightforward method to create synthetic magnetic fields in cold-atom systems by extending a 1D optical lattice into a synthetic dimension using internal atomic states, enabling simulation of magnetic lattice phenomena.

Contribution

The authors introduce a simple technique to generate uniform magnetic flux in a synthetic 2D lattice using internal atomic states and laser coupling, reproducing key magnetic lattice features.

Findings

Reproduces Hofstadter butterfly spectrum

Realizes chiral edge states of Chern insulators

Demonstrates uniform magnetic flux in synthetic dimensions

Abstract

We describe a simple technique for generating a cold-atom lattice pierced by a uniform magnetic field. Our method is to extend a one-dimensional optical lattice into the "dimension" provided by the internal atomic degrees of freedom, yielding a synthetic 2D lattice. Suitable laser-coupling between these internal states leads to a uniform magnetic flux within the 2D lattice. We show that this setup reproduces the main features of magnetic lattice systems, such as the fractal Hofstadter butterfly spectrum and the chiral edge states of the associated Chern insulating phases.