{"work":{"id":"56fbbb88-6669-4688-b393-9ff69c6cf9cf","openalex_id":null,"doi":"10.1103/physrevlett.96.110404.arxiv:hep-th/0510092","arxiv_id":"hep-th/0510092","raw_key":null,"title":"Topological entanglement entropy","authors":null,"authors_text":"A","year":2005,"venue":"hep-th","abstract":"We formulate a universal characterization of the many-particle quantum entanglement in the ground state of a topologically ordered two-dimensional medium with a mass gap. We consider a disk in the plane, with a smooth boundary of length L, large compared to the correlation length. In the ground state, by tracing out all degrees of freedom in the exterior of the disk, we obtain a marginal density operator \\rho for the degrees of freedom in the interior. The von Neumann entropy S(\\rho) of this density operator, a measure of the entanglement of the interior and exterior variables, has the form S(\\rho)= \\alpha L -\\gamma + ..., where the ellipsis represents terms that vanish in the limit L\\to\\infty. The coefficient \\alpha, arising from short wavelength modes localized near the boundary, is nonuniversal and ultraviolet divergent, but -\\gamma is a universal additive constant characterizing a global feature of the entanglement in the ground state. Using topological quantum field theory methods, we derive a formula for \\gamma in terms of properties of the superselection sectors of the medium.","external_url":"https://arxiv.org/abs/hep-th/0510092","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-09T08:05:16.230513+00:00","pith_arxiv_id":"hep-th/0510092","created_at":"2026-05-09T06:40:39.733134+00:00","updated_at":"2026-07-11T11:50:26.030339+00:00","title_quality_ok":false,"display_title":"Topological entanglement entropy","render_title":"Topological entanglement entropy"},"hub":{"state":{"work_id":"56fbbb88-6669-4688-b393-9ff69c6cf9cf","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":17,"external_cited_by_count":null,"distinct_field_count":5,"first_pith_cited_at":"2019-07-18T16:05:49+00:00","last_pith_cited_at":"2026-06-28T10:12:24+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-08-22T17:59:54.189922+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":6},{"context_role":"method","n":1}],"polarity_counts":[{"context_polarity":"background","n":6},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}