Quantum Simulation of Quantum Field Theories in Trapped Ions

TL;DR

This paper proposes a method to simulate quantum field theories using trapped ions, enabling exploration of complex particle interactions in both perturbative and nonperturbative regimes.

Contribution

It introduces a scalable quantum simulation platform for fermion, antifermion, and bosonic field interactions using trapped ions, advancing quantum field theory research.

Findings

Demonstrates a feasible implementation with two trapped ions

Enables scalable addition of bosonic and fermionic modes

Provides a pathway for simulating quantum field theories in various regimes

Abstract

We propose the quantum simulation of a fermion and an antifermion field modes interacting via a bosonic field mode, and present a possible implementation with two trapped ions. This quantum platform allows for the scalable add-up of bosonic and fermionic modes, and represents an avenue towards quantum simulations of quantum field theories in perturbative and nonperturbative regimes.