Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms

TL;DR

This paper reviews how Yang-Baxter integrable models, which are exactly solvable, have significantly influenced experimental research in condensed matter physics and ultracold atomic systems, highlighting key models and recent developments.

Contribution

It provides an introductory overview of the experimental relevance of Yang-Baxter integrable models in condensed matter and ultracold atoms, emphasizing specific models and recent progress.

Findings

Examples include the Heisenberg spin chain and Lieb-Liniger Bose gas.

Integrable models have guided experimental investigations in ultracold atoms.

Recent developments show promising directions for future research.

Abstract

The Yang-Baxter equation has long been recognised as the masterkey to integrability, providing the basis for exactly solved models which capture the fundamental physics of a number of realistic classical and quantum systems. In this article we provide an introductory overview of the impact of Yang-Baxter integrable models on experiments in condensed matter physics and ultracold atoms. A number of prominent examples are mentioned, including the hard-hexagon model, the Heisenberg spin chain, the transverse quantum Ising chain, a spin ladder model, the Lieb-Liniger Bose gas, the Gaudin-Yang Fermi gas and the two-site Bose-Hubbard model. The review concludes by pointing to some other recent developments with promise for further progress.