{ "id": "1608.06209", "version": "v1", "published": "2016-08-22T16:17:17.000Z", "updated": "2016-08-22T16:17:17.000Z", "title": "Bethe ansatz solution of the $τ_2$-model with arbitrary boundary fields", "authors": [ "Xiaotian Xu", "Kun Hao", "Tao Yang", "Junpeng Cao", "Wen-Li Yang", "Kangjie Shi" ], "comment": "24 pages, no figures", "categories": [ "math-ph", "cond-mat.stat-mech", "hep-th", "math.MP" ], "abstract": "The quantum $\\tau_2$-model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix are given in terms of an inhomogeneous T-Q relation, which is based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices. Moreover, the associated Bethe Ansatz equations are also obtained.", "revisions": [ { "version": "v1", "updated": "2016-08-22T16:17:17.000Z" } ], "analyses": { "keywords": [ "arbitrary boundary fields", "bethe ansatz solution", "off-diagonal bethe ansatz method", "operator product identities", "generic site-dependent inhomogeneity" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable" } } }