Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
arXiv:2205.10858 · doi:10.21468/SciPostPhys.13.3.056
Abstract
The balanced partial entanglement (BPE) was observed to give the reflected entropy and the entanglement wedge cross-section (EWCS) for various mixed states in different theories \cite{Wen:2021qgx,Camargo:2022mme}. It can be calculated in different purifications, and is conjectured to be independent from purifications. In this paper we calculate the BPE and the EWCS in generic covariant scenarios in two-dimensional CFTs with and without gravitational anomalies, and find that they coincide with the reflected entropy. In covariant configurations we determine the partition for the purifying system with the help of the gravitational anomalies, and we extend our discussion to topological massive gravity (TMG). We give the first prescription to evaluate the entropy quantity associated to the EWCS beyond Einstein gravity, i.e. the correction to the EWCS from the Chern-Simons term in TMG. Apart from the gravity theory and geometry, further input from the mixed state should be taken into account.
arXiv comment37 pages, 8 figures; v2: references updated, a few typos fixed, more calculation details added; v3: Matched with the published version
References in corpus (76)
- A computable measure of entanglement
- Entanglement Entropy and Quantum Field Theory
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- The logarithmic negativity: A full entanglement monotone that is not convex
- Generalized gravitational entropy
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- On Black Hole Entropy
- Entanglement negativity in quantum field theory
- The BMS/GCA correspondence
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Holographic Entanglement of Purification
- Holographic Entanglement Entropy for General Higher Derivative Gravity
- A comparison of entanglement measures
- Entanglement negativity in extended systems: A field theoretical approach
- The entanglement of purification
- Holographic Gravitational Anomalies
- Generalized entropy and higher derivative Gravity
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
- Holographic Entanglement Entropy in Lovelock Gravities
- Entanglement of purification: from spin chains to holography
- Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
- Topologically Massive Gravity and the AdS/CFT Correspondence
- Entanglement Wedge Cross Section from the Dual Density Matrix
- Black Hole Entropy in the presence of Chern-Simons Terms
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- Entanglement Entropy in Flat Holography
- Derivation of holographic negativity in AdS/CFT
- BTZ Black Hole with Chern-Simons and Higher Derivative Terms
- Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
- Holographic Entanglement Entropy for the Most General Higher Derivative Gravity
- Holographic entanglement entropy and gravitational anomalies
- Entanglement contour
- Geometric Aspects of Holographic Bit Threads
- Entanglement Wedge Reconstruction and Entanglement of Purification
- Holographic entanglement contour, bit threads, and the entanglement tsunami
- Brown-Henneaux's Canonical Approach to Topologically Massive Gravity
- Holographic Quantum Entanglement Negativity
- Modifications to Holographic Entanglement Entropy in Warped CFT
- BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
- Some Aspects of Entanglement Wedge Cross-Section
- Area law and its violation: A microscopic inspection into the structure of entanglement and fluctuations
- Fine structure in holographic entanglement and entanglement contour
- Balanced Partial Entanglement and the Entanglement Wedge Cross Section
- Entanglement hamiltonians in 1D free lattice models after a global quantum quench
- Shaping contours of entanglement islands in BCFT
- Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase
- A contour for the entanglement entropies in harmonic lattices
- Swing surfaces and holographic entanglement beyond AdS/CFT
- Entanglement Wedge in Flat Holography and Entanglement Negativity
- Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
- Aspects of Hyperscaling Violating Geometries at Finite Cutoff
- Balanced Partial Entanglement and Mixed State Correlations
- Entanglement negativity, reflected entropy, and anomalous gravitation
- Entanglement entropy from entanglement contour: higher dimensions
- The negativity contour: a quasi-local measure of entanglement for mixed states
- Unusual area-law violation in random inhomogeneous systems
- Formulas for Partial Entanglement Entropy
- Entanglement negativity in Galilean conformal field theories
- Holographic Description of Gravitational Anomalies
- Local measures of entanglement in black holes and CFTs
- Correlation measures and distillable entanglement in AdS/CFT
- Evolution of Entanglement Wedge Cross Section Following a Global Quench
- Entanglement contour and modular flow from subset entanglement entropies
- Barrier from chaos: operator entanglement dynamics of the reduced density matrix
- Entanglement Wedge Cross Section in Holographic Excited States
- Reflected Entropy in AdS/WCFT
- Holographic entanglement entropy in AdSWCFT
- Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
- Balanced Partial Entanglement in Flat Holography
- Reflected entropy in Galilean conformal field theories and flat holography
- Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity
- Anomalous Gravitation and its Positivity from Entanglement
- Entanglement Wedge Minimum Cross-Section in Holographic Axion Gravity Theories
- The Markov gap for geometric reflected entropy
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- Holographic Tensor Networks as Tessellations of Geometry