https://doi.org/10.1140/epjc/s10052-024-12461-x
Regular Article - Theoretical Physics
Reflected entropy for communicating black holes II: Planck braneworlds
1
Department of Physics, National Sun Yat-Sen University, 80424, Kaohsiung, Taiwan
2
Center for Theoretical and Computational Physics, 80424, Kaohsiung, Taiwan
3
Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India
Received:
16
November
2023
Accepted:
18
January
2024
Published online:
9
March
2024
We obtain the reflected entropy for bipartite mixed state configurations of two adjacent and disjoint intervals at a finite temperature in finite-sized non-gravitating reservoirs described by 
s each coupled to two quantum dots at their boundaries in the large central charge limit through a replica technique. These field theory results are substantiated through a holographic computation involving the entanglement wedge cross section in the dual bulk BTZ black hole geometry truncated by two Planck branes. The two Planck branes are the holographic duals of the quantum dots described by 
slices with JT black holes. Our result reproduce the holographic duality between the reflected entropy and the bulk entanglement wedge cross section in the context of the 
correspondence. Subsequently we analyze the behaviour of the holographic Markov gap between the reflected entropy and the mutual information for different scenarios involving the subsystem sizes and time.
© The Author(s) 2024
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