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

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.

25 pages, 14 figures. Review article intended for Exactly Solved Models and Beyond: a special issue in honour of R J Baxter's 75th birthday in J Phys A. Additional references, comments welcome

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