# Analog quantum simulation of the spinor-four Dirac equation with an artificial gauge field

## TL;DR

This paper demonstrates how ultracold atoms in optical lattices can be engineered to simulate the full spinor-four Dirac equation, including effects of an artificial magnetic gauge field, advancing quantum simulation capabilities.

## Contribution

It introduces a method to emulate the complete Dirac equation with artificial gauge fields using modulated ultracold atom systems in optical lattices.

## Key findings

- Successfully simulates the spinor-four Dirac equation
- Creates an artificial magnetic gauge field
- Replicates relativistic quantum particle behavior

## Abstract

A two-dimensional spatially and temporally modulated Wannier-Stark system of ultracold atoms in optical lattices is shown to mimic the behavior of a Dirac particle. Suitable additional modulations generate an artificial gauge field which simulates a magnetic field and imposes the use of the full spinor-four Dirac equation.