Simulations of non-Abelian gauge theories with optical lattices

TL;DR

This paper proposes methods to engineer quantum simulators for non-Abelian lattice gauge theories, enabling exploration of phenomena like quark confinement and high-temperature superconductivity in controlled quantum systems.

Contribution

It introduces a framework for simulating non-Abelian gauge theories with optical lattices, providing new tools to study complex quantum phenomena.

Findings

Proposed quantum simulation schemes for non-Abelian gauge theories.

Potential to mimic quark confinement and valence-bond states.

Applications to understanding high-temperature superconductivity.

Abstract

Many phenomena occurring in strongly correlated quantum systems still await conclusive explanations. The absence of isolated free quarks in nature is an example. It is attributed to quark confinement, whose origin is not yet understood. The phase diagram for nuclear matter at general temperatures and densities, studied in heavy-ion collisions, is not settled. Finally, we have no definitive theory of high-temperature superconductivity. Though we have theories that could underlie such physics, we lack the tools to determine the experimental consequences of these theories. Quantum simulators may provide such tools. Here we show how to engineer quantum simulators of non-Abelian lattice gauge theories. The systems we consider have several applications: they can be used to mimic quark confinement or to study dimer and valence-bond states (which may be relevant for high-temperature superconductors).