{ "id": "1510.05810", "version": "v1", "published": "2015-10-20T09:43:32.000Z", "updated": "2015-10-20T09:43:32.000Z", "title": "Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms", "authors": [ "Murray T. Batchelor", "Angela Foerster" ], "comment": "24 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, comments welcome", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP", "quant-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2015-10-20T09:43:32.000Z" } ], "analyses": { "keywords": [ "yang-baxter integrable models", "ultracold atoms", "condensed matter", "experiments", "two-site bose-hubbard model" ], "tags": [ "review article" ], "publication": { "doi": "10.1088/1751-8113/49/17/173001", "journal": "Journal of Physics A Mathematical General", "year": 2016, "month": "Apr", "volume": 49, "number": 17, "pages": 173001 }, "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016JPhA...49q3001B", "inspire": 1399126 } } }