BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Shinsei Ryu (Princeton University) DTSTART:20211012T193000Z DTEND:20211012T204500Z DTSTAMP:20260423T005649Z UID:HET/14 DESCRIPTION:Title: Mul tipartitioning topological phases and quantum entangle\nby Shinsei Ryu (Princeton University) as part of Purdue HET\n\n\nAbstract\nWe discuss mu ltipartitions of the gapped ground states of (2+1)-dimensional topological liquids into three (or more) spatial regions that are adjacent to each ot her and meet at points. By considering the reduced density matrix obtained by tracing over a subset of the regions\, we compute various correlation measures\, such as entanglement negativity\, reflected entropy\, and ass ociated spectra. We utilize the bulk-boundary correspondence to achieve su ch multipartitions and construct the reduced density matrix near the entan gling boundaries. We find the fingerprints of topological liquid in these quantities\, such as (universal pieces in) the scaling of the entanglement negativity\, and a non-trivial distribution of the spectrum of the partia lly transposed density matrix. For reflected entropy\, we test the recent claim that states the difference between reflected entropy and mutual info rmation is given\, once short range correlations are properly removed\, by (|c|/3) ln 2 where c is the chiral central charge of the topological liqu id.\n LOCATION:https://researchseminars.org/talk/HET/14/ END:VEVENT END:VCALENDAR