Charge fluctuation entropy of Hawking radiation: a replica-free way to find large entropy

Abstract

We study the fluctuation entropy for two-dimensional matter systems with an internal symmetry coupled to Jackiw--Teitelboim(JT) gravity joined to a Minkowski region. The fluctuation entropy is the Shannon entropy associated to probabilities of finding particular charge for a region. We first consider a case where the matter has a global symmetry. We find that the fluctuation entropy of Hawking radiation shows an unbounded growth and exceeds the entanglement entropy in presence of islands. This indicates that the global symmetry is violated. We then discuss the fluctuation entropy for matter coupled to a two-dimensional gauge field. We find a lower bound on the gauge coupling $g_0$ in order to avoid a similar issue. Also, we point out a few puzzles related to the island prescription in presence of a gauge symmetry.

arXiv commentv1: 43 pages plus appendices, 3 figures; v2: discussion significantly improved

References in corpus (70)

• Entanglement Entropy and Quantum Field Theory
• Entanglement entropy and conformal field theory
• Eternal Black Holes in AdS
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Replica Wormholes and the Entropy of Hawking Radiation
• Symmetries and Strings in Field Theory and Gravity
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• Probing entanglement in a many-body-localized system
• GRAVITY AND GLOBAL SYMMETRIES
• Wormholes in AdS
• Black Holes and Large N Species Solution to the Hierarchy Problem
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Quantum Noise as an Entanglement Meter
• Remarks on entanglement entropy for gauge fields
• Entanglement and alpha entropies for a massive Dirac field in two dimensions
• Symmetry-resolved entanglement in many-body systems
• Large $N$ Phase Transition in Continuum QCD${}_2$
• Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model
• Decomposition of entanglement entropy in lattice gauge theory
• Entanglement entropy in gauge theories and the holographic principle for electric strings
• Islands outside the horizon
• Screening vs. Confinement in 1+1 Dimensions
• Inconsistency of Islands in Theories with Long-Range Gravity
• Equipartition of the Entanglement Entropy
• Notes on the complex Sachdev-Ye-Kitaev model
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• Covariant phase space with boundaries
• Averaging Over Narain Moduli Space
• Entanglement entropy and nonabelian gauge symmetry
• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• Symmetry resolved entanglement in free fermionic systems
• Free partition functions and an averaged holographic duality
• A semiclassical realization of infrared renormalons
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
• Numerical study of entanglement entropy in SU(2) lattice gauge theory
• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Humanly traversable wormholes
• Dynamics of Charge-Resolved Entanglement after a Local Quench
• Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity
• A violation of global symmetries from replica wormholes and the fate of black hole remnants
• Global symmetry, Euclidean gravity, and the black hole information problem
• Comments on magnetic black holes
• Pulling Out the Island with Modular Flow
• Quantum Information and Gravity Cutoff in Theories with Species
• Symmetry resolved entanglement entropy of excited states in a CFT
• Entanglement entropy and superselection sectors I. Global symmetries
• The entropy per coordinate of a random vector is highly constrained under convexity conditions
• Symmetry decomposition of negativity of massless free fermions
• Twisted and untwisted negativity spectrum of free fermions
• Symmetry resolved relative entropies and distances in conformal field theory
• Symmetry-Resolved Entanglement in AdS${}_3$/CFT${}_2$ coupled to $U(1)$ Chern-Simons Theory
• Symmetry-resolved entanglement for excited states and two entangling intervals in AdS${}_3$/CFT${}_2$
• Boundary effects on symmetry resolved entanglement
• Signatures of global symmetry violation in relative entropies and replica wormholes
• Entropic order parameters for the phases of QFT
• Bounds on the entanglement entropy by the number entropy in non-interacting fermionic systems
• Symmetry Breaking in Coupled SYK or Tensor Models
• A lower bound on the differential entropy of log-concave random vectors with applications
• Entanglement Entropy in 2D Non-abelian Pure Gauge Theory
• Spontaneous Breaking of $U(1)$ Symmetry in Coupled Complex SYK Models
• Traversable wormholes in four dimensions
• Averaging over moduli in deformed WZW models
• Wilson loops in unitary matrix models at finite $N$
• Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models
• On 2D gauge theories in Jackiw-Teitelboim gravity
• Entanglement entropy and the large $N$ expansion of two-dimensional Yang-Mills theory
• Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models
• Replica Instantons from Axion-like Coupling
• Coupled Sachdev-Ye-Kitaev models without Schwartzian dominance

Cited by in corpus (1)

• Holevo Information and Ensemble Theory of Gravity