# Implementing supersymmetric dynamics in ultracold atom systems

## TL;DR

This paper proposes experimental setups using ultracold atoms to realize and observe supersymmetric dynamics, including a Mach-Zehnder interferometer, demonstrating supersymmetry through interference contrast.

## Contribution

It introduces novel ultracold atom configurations to implement supersymmetric systems and a feasible interference experiment to detect supersymmetry effects.

## Key findings

- Proposed a one-dimensional ultracold atom setup for supersymmetric systems.
- Designed a Mach-Zehnder interference experiment to observe supersymmetry.
- Extended the concept to a two-dimensional setup with synthetic gauge fields.

## Abstract

Supersymmetric systems derive their properties from conserved supercharges which form a supersymmetric algebra. These systems naturally factorize into two subsystems, which, when considered as individual systems, have essentially the same eigenenergies, and their eigenstates can be mapped onto each other. We first propose a one-dimensional ultracold atom setup to realize such a pair of supersymmetric systems. We propose a Mach-Zehnder interference experiment which we demonstrate for this system, and which can be realized with current technology. In this interferometer, a single atom wave packet that evolves in a superposition of the subsystems, gives an interference contrast that is sharply peaked if the subsystems form a supersymmetric pair. Secondly, we propose a two-dimensional setup that implements supersymmetric dynamics in a synthetic gauge field.