Quantum Variational Methods for Supersymmetric Quantum Mechanics

TL;DR

This paper demonstrates how quantum variational methods can effectively analyze supersymmetric quantum mechanics, specifically a fermion-boson system, highlighting the potential of quantum computing in studying complex quantum field theories.

Contribution

It introduces adaptive variational techniques for fermion-boson systems, enabling efficient identification of supersymmetry breaking with scalable ansätze.

Findings

Successful identification of supersymmetry breaking in a minimal model

Development of scalable variational ansätze for fermion-boson systems

Foundation for applying quantum computing to complex quantum field theories

Abstract

We employ quantum variational methods to investigate a single-site interacting fermion-boson system -- an example of a minimal supersymmetric model that can exhibit spontaneous supersymmetry breaking. Our study addresses the challenges inherent in calculating mixed fermion-boson systems and explores the potential of quantum computing to advance their analysis. By using adaptive variational techniques, we identify optimal ans\"atze that scale efficiently, allowing for reliable identification of spontaneous supersymmetry breaking. This work lays a foundation for future quantum computing investigations of more complex and physically rich fermion-boson quantum field theories in higher dimensions.