Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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Entropy and Area
13 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
The ground state density matrix for a massless free field is traced over the degrees of freedom residing inside an imaginary sphere; the resulting entropy is shown to be proportional to the area (and not the volume) of the sphere. Possible connections with the physics of black holes are discussed.
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The paper defines the entanglement wedge polygon as the intersection of entanglement wedges external to individual homology regions and studies its topological and geometric properties in AdS examples.
A position-space discretization on a cylinder approximates the modular operator for one and two double cones in the 1+1D massive Majorana field, showing nontrivial mass dependence and reduced bilocal terms at higher masses.
The O(α) correction to entanglement entropy of a non-minimally coupled self-interacting scalar across a Schwarzschild horizon is proportional to (1/6 - ξ), with divergences that renormalize Newton's constant while preserving the black hole area law.
The reduced states of static UDW detectors coupled to a scalar field in alpha-vacua are derived analytically, revealing distinct behaviors of entanglement harvesting for time-like versus space-like separations and superhorizon suppression of quantum discord.
Fuzzball models with stretched horizons modify or eliminate entanglement islands depending on boundary conditions and cap geometry, producing information paradox analogues in some cases.
Evanescent quantum extremal surfaces, bounded in area but not generalized entropy, diagnose failures of spacetime emergence in holography.
Genuine multi-entropy in heavy local quenches in 2D holographic CFTs is kinematically fixed to logarithms of rational functions of time, independent of heavy operator dimension, due to global saddle selection in the geodesic network.
In f(R) theories, the replica-method gravitational entropy computed on the apparent horizon matches the Hollands-Wald-Zhang dynamical black hole entropy and satisfies the first law, while the event horizon does not; this lets the generalized second law be reinterpreted as matter entanglement across
Numerical MPS study of the Moore-Read state finds approximate equipartition of symmetry-resolved entanglement entropy and good agreement with the Li-Haldane conjecture for the entanglement spectrum despite distinct neutral and charged velocities.
In this fuzzy-sphere matrix model the largest Lyapunov exponent drops to zero at finite temperature, respecting the Maldacena-Shenker-Stanford bound while entanglement shows fast scrambling.
Kaniadakis entropic cosmology modifies early-universe dynamics and is constrained by its predictions for Starobinsky inflation and the primordial tensor spectrum using current CMB and gravitational-wave observations.
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.
citing papers explorer
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Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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The Entanglement Wedge Polygon
The paper defines the entanglement wedge polygon as the intersection of entanglement wedges external to individual homology regions and studies its topological and geometric properties in AdS examples.
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Numerical approach to the modular operator for fermionic systems
A position-space discretization on a cylinder approximates the modular operator for one and two double cones in the 1+1D massive Majorana field, showing nontrivial mass dependence and reduced bilocal terms at higher masses.
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Entanglement Entropy of a Non-Minimally Coupled Self-Interacting Scalar across a Schwarzschild Horizon at $\mathcal{O}(\alpha)$
The O(α) correction to entanglement entropy of a non-minimally coupled self-interacting scalar across a Schwarzschild horizon is proportional to (1/6 - ξ), with divergences that renormalize Newton's constant while preserving the black hole area law.
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Entanglement Harvesting and Quantum Discord of Alpha Vacua in de Sitter Space
The reduced states of static UDW detectors coupled to a scalar field in alpha-vacua are derived analytically, revealing distinct behaviors of entanglement harvesting for time-like versus space-like separations and superhorizon suppression of quantum discord.
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Entanglement islands, fuzzballs and stretched horizons
Fuzzball models with stretched horizons modify or eliminate entanglement islands depending on boundary conditions and cap geometry, producing information paradox analogues in some cases.
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A Semiclassical Diagnostic for Spacetime Emergence
Evanescent quantum extremal surfaces, bounded in area but not generalized entropy, diagnose failures of spacetime emergence in holography.
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Multi-entropy in heavy local quenches
Genuine multi-entropy in heavy local quenches in 2D holographic CFTs is kinematically fixed to logarithms of rational functions of time, independent of heavy operator dimension, due to global saddle selection in the geodesic network.
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Entanglement Entropy and Thermodynamics of Dynamical Black Holes
In f(R) theories, the replica-method gravitational entropy computed on the apparent horizon matches the Hollands-Wald-Zhang dynamical black hole entropy and satisfies the first law, while the event horizon does not; this lets the generalized second law be reinterpreted as matter entanglement across
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Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State
Numerical MPS study of the Moore-Read state finds approximate equipartition of symmetry-resolved entanglement entropy and good agreement with the Li-Haldane conjecture for the entanglement spectrum despite distinct neutral and charged velocities.
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Real-Time Quantum Dynamics on the Fuzzy Sphere: Chaos and Entanglement
In this fuzzy-sphere matrix model the largest Lyapunov exponent drops to zero at finite temperature, respecting the Maldacena-Shenker-Stanford bound while entanglement shows fast scrambling.
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Constraints on Kaniadakis Cosmology from Starobinsky Inflation and Primordial Tensor Perturbations
Kaniadakis entropic cosmology modifies early-universe dynamics and is constrained by its predictions for Starobinsky inflation and the primordial tensor spectrum using current CMB and gravitational-wave observations.
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Lectures on entanglement entropy in field theory and holography
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.