Effective Abelian and non-Abelian gauge potentials in cavity QED

TL;DR

This paper introduces a novel cavity QED framework using field quadrature operators to generate and control effective Abelian and non-Abelian gauge potentials, enabling new experimental possibilities.

Contribution

It presents a new approach to realize and analyze gauge fields in cavity QED systems through field quadrature operators, demonstrating both Abelian and non-Abelian potentials.

Findings

Effective gauge potentials can be engineered in cavity QED.

Non-Abelian characteristics are confirmed via numerical simulations.

The system offers high control and detection capabilities.

Abstract

Cavity QED models are analyzed in terms of field quadrature operators. We demonstrate that in such representation, the problem can be formulated in terms of effective gauge potentials. In this respect, it presents a completely new system in which gauge fields arise, possessing the advantages of purity, high control of system parameters as well as preparation and detection methods. Studying three well known models, it is shown that either Abelian or non-Abelian gauge potentials can be constructed. The non-Abelian characteristics are evidenced via numerical simulations utilizing experimental parameters.