Entanglement wedge in flat holography and entanglement negativity

Basu, Debarshi; Chandra, A. Ramesh; Raj, Vinayak; Sengupta, Gautam

doi:10.21468/scipostphyscore.5.1.013

Cited by 28 publications

(38 citation statements)

References 79 publications

(263 reference statements)

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“…which is independent of u q . Upon the substitution c M = 3/G N , this result exactly matches the EWCS obtained in [76] for adjacent intervals. Furthermore, we can calculate the crossing PEE at the balance point, which is given by…”

supporting

confidence: 82%

“…Cardy-like formulas [71][72][73] are proposed to reproduce the Bekenstein-Hawking entropy for the cosmological horizons. More importantly, the geometry for the holographic entanglement entropy is constructed in [73] (see also [48,74,75]), which furthermore inspires the construction of the EWCS in flat spacetime [76]. See also [77,78] for other discussions of entanglement in BMSFTs and [74,79] for further development in 3d flat holography.…”

Section: Holographic Entanglement and Ewcs In 3d Flat Holographymentioning

confidence: 99%

“…Another essential ingredient for our discussion is the geometric picture for holographic entanglement entropy [73], which can be used to construct the analogue of the EWCS in 3d flat space. The construction of the EWCS was explicitly studied in [76], with the motivation to establish the duality between the EWCS and the entanglement negativity 6 [84] in 3d flat holography. The geometric picture for entanglement entropy in flat holography [73] not only contains a bulk spacelike geodesic, but also contains additional null geodesics, which are novel compared with the RT formula in AdS/CFT.…”

Section: Holographic Entanglement and Ewcs In 3d Flat Holographymentioning

confidence: 99%

“…The EWCS in 3d flat space [76] is defined in a similar way as the EWCS on a time slice of the AdS background. Let us consider the configurations shown in Fig.…”

Section: Holographic Entanglement and Ewcs In 3d Flat Holographymentioning

confidence: 99%

“…• Our calculations of BPE can also be generalized to the finite temperature cases and for other gravity duals like topological massive gravity (TMG) with non-zero c L . The crossing PEE is supposed to be non-zero and should depend on the topological term as obtained in the context of the entanglement negativity [76]. The generalization of the EoP and EWCS from bipartite states to multipartite states was explored in [97,98], it will also be interesting to explore the similar generalization for the BPE.…”

Section: Future Directionsmentioning

confidence: 99%

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Balanced Partial Entanglement and Mixed State Correlations

Camargo,

Nandy,

Wen

et al. 2022

Preprint

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Recently in Ref. [1], one of the authors introduced the balanced partial entanglement (BPE), which has been proposed to be dual to the entanglement wedge cross-section (EWCS). In this paper, we explicitly demonstrate that the BPE could be considered as a proper measure of the total intrinsic correlation between two subsystems in a mixed state. The total correlation includes certain crossing correlations which are minimized on some balance conditions. By constructing a class of purifications from Euclidean path-integrals, we find that the balanced crossing correlations show universality and can be considered as the generalization of the Markov gap for canonical purification. We also test the relation between the BPE and the EWCS in three-dimensional asymptotically flat holography. We find that the balanced crossing correlation vanishes for the field theory invariant under BMS 3 symmetry (BMSFT) and dual to the Einstein gravity, indicating the possibility of a perfect Markov recovery. We further elucidate these crossing correlations as a signature of tripartite entanglement and explain their interpretation in both AdS and non-AdS holography.

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supporting

confidence: 82%

Section: Holographic Entanglement and Ewcs In 3d Flat Holographymentioning

confidence: 99%

Section: Holographic Entanglement and Ewcs In 3d Flat Holographymentioning

confidence: 99%

“…The EWCS in 3d flat space [76] is defined in a similar way as the EWCS on a time slice of the AdS background. Let us consider the configurations shown in Fig.…”

Section: Holographic Entanglement and Ewcs In 3d Flat Holographymentioning

confidence: 99%

Section: Future Directionsmentioning

confidence: 99%

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Balanced Partial Entanglement and Mixed State Correlations

Camargo,

Nandy,

Wen

et al. 2022

Preprint

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Reflected entropy for communicating black holes. Part I. Karch-Randall braneworlds

Afrasiar

Basak

Chandra

et al. 2023

J. High Energ. Phys.

Self Cite

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We obtain the reflected entropy for bipartite mixed state configurations of two adjacent and disjoint intervals at a finite temperature in BCFT2s 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 AdS3/BCFT2 scenario. We further 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.

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Bounding entanglement wedge cross sections

Jain

Jokela

Järvinen

et al. 2023

J. High Energ. Phys.

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The entanglement wedge cross sections (EWCSs) are postulated as dual gravity probes to certain measures for the entanglement of multiparty systems. We test various proposed inequalities for EWCSs. As it turns out, contrary to expectations, the EWCS is not clearly monogamous nor polygamous for tripartite systems but the results depend on the details and dimensionality of the geometry of the gravity solutions. We propose weaker monogamy relations for dual entanglement measures, which lead to a new lower bound on EWCS. Our work is based on a plethora of gravity backgrounds: pure anti de Sitter spaces, anti de Sitter black branes, those induced by a stack of Dp-branes, and cigar geometries in generic dimension.

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Entanglement wedge in flat holography and entanglement negativity

Cited by 28 publications

References 79 publications

Balanced Partial Entanglement and Mixed State Correlations

Balanced Partial Entanglement and Mixed State Correlations

Reflected entropy for communicating black holes. Part I. Karch-Randall braneworlds

Bounding entanglement wedge cross sections

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