Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures

TL;DR

This paper explores how supersymmetry can be realized in ultracold Bose-Fermi mixtures, leading to the emergence of a Goldstino mode, with implications for experimental detection and understanding symmetry breaking.

Contribution

It demonstrates the realization of supersymmetry in non-relativistic atomic systems and analyzes the conditions under which Goldstino modes appear due to symmetry breaking.

Findings

Supersymmetry can be realized in ultracold Bose-Fermi mixtures.

Goldstino modes emerge when supersymmetry is broken.

Possible experimental detection methods for Goldstino are discussed.

Abstract

Supersymmetry is assumed to be a basic symmetry of the world in many high energy theories, but none of the super partners of any known elementary particle has been observed yet. We argue that supersymmetry can also be realized and studied in ultracold atomic systems with a mixture of bosons and fermions, with properly tuned interactions and single particle dispersion. We further show that in such non-releativistic systems supersymmetry is either spontaneously broken, or explicitly broken by a chemical potential difference between the bosons and fermions. In both cases the system supports a sharp fermionic collective mode or the so-called Goldstino, due to supersymmetry. We also discuss possible ways to detect the Goldstino mode experimentally.