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arXiv · 1510.05810

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

Murray T. Batchelor·Angela Foerster
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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.

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Murray T. Batchelor, Angela Foerster. 2015-10-20. Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms. https://doi.org/10.1088/1751-8113%2F49%2F17%2F173001

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