Entanglement Negativity and Reflected Entropy for Communicating Black Holes.

  • Event Date: 2022-12-02
  • High energy theory
  • Speaker: Dr. Jaydeep Kumar Basak (NSYSU)  /  Host: Prof. Dimitrios Giataganas (NSYSU)
    Place: PH5009, Physics Building, NSYSU

Title: Entanglement Negativity and Reflected Entropy for Communicating Black Holes
Time: 14:15, Friday, 2022/12/02
Venue: PH5009, Physics Building, NSYSU 

Abstract:
We obtain the reflected entropy for bipartite mixed state configurations of two adjacent and disjoint intervals at a finite temperature in BCFT_2s with two distinct boundaries through a replica technique in the large central charge limit.
Subsequently, these field theory results are reproduced from bulk computations involving the entanglement wedge cross section in the dual BTZ black hole geometry truncated by two Karch-Randall branes. Our result confirms  the holographic duality between the reflected entropy and the bulk entanglement wedge cross section in the context of the AdS_3/BCFT_2 scenario.
Furthermore, we compute holographic entanglement negativity for communicating black holes. We also investigate the critical issue of the holographic Markov gap between the reflected entropy and the mutual information for these configurations from the bulk braneworld geometry and study its variation with subsystem sizes and time.

Organized by NCTS TG2.2 & NSYSU CTCP