{"paper":{"title":"Birman-Wenzl-Murakami Algebra, Topological parameter and Berry phase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chengcheng Zhou, Chunfang Sun, Gangcheng Wang, Kang Xue, Lidan Gou, Taotao Hu","submitted_at":"2010-12-09T13:10:40Z","abstract_excerpt":"In this paper, a (3\\times3)-matrix representation of the Birman-Wenzl-Murakami(BWM) algebra has been presented. Based on which, unitary matrices (A(\\theta,\\phi_1,\\phi_2), B(\\theta,\\phi_1,\\phi_2)) are generated via the Yang-Baxterization approach. A hamiltonian is constructed from the unitary (B(\\theta,\\phi)) matrix. We then study the Berry phase of the Yang-Baxter system and find the topological parameter d has relationship with berry phase."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1994","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}