# IAS Physics Group Meeting

## Multipartitioning Topological Phases and Quantum Entanglement

This group meeting will be presented in-person in Wolfensohn Hall at the IAS and on Zoom. The Zoom link will be provided in the email announcement.

For contact-tracing purposes all off-campus attendees must register for this seminar:
REGISTRATION FORM

All in-person attendees must be fully vaccinated, and masks are required in all indoor spaces (except while actively eating). Additionally, all off-campus attendees are required to upload proof of vaccination via the IAS CrowdPass App

Abstract: We discuss multipartitions of the gapped ground states of (2+1)-dimensional topological liquids into three (or more) spatial regions that are adjacent to each other 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 associated spectra. We utilize the bulk-boundary correspondence to achieve such multipartitions and construct the reduced density matrix near the entangling 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 partially transposed density matrix.




### Date & Time

January 19, 2022 | 1:45pm – 3:00pm

### Location

Wolfensohn Hall (behind Bloomberg Hall) & on Zoom

Shinsei Ryu

### Speaker Affiliation

Princeton University