Counting atypical black hole microstates from entanglement wedges
arXiv:2211.11787 · doi:10.1007/JHEP05(2024)251
Abstract
Disentangled black hole microstates are atypical states in holographic CFTs whose gravity duals do not have smooth horizons. If there exist sufficiently many disentangled microstates to account for the entire black hole entropy, then any black hole microstate can be written as a superposition of states without smooth horizons. We show that there exist sufficiently many disentangled microstates to account for almost the entire black hole entropy of a large AdS black hole at the semiclassical limit . In addition, we also argue that in generic quantum many-body systems with short-ranged interactions, there exist sufficiently many area law states in the microcanonical subspace to account for almost the entire thermodynamic entropy in the standard thermodynamic limit. Area law states are atypical since a typical state should contain volume law entanglement. Furthermore, we also present an explicit way to construct such a set of area law states, and argue that the same construction may also be used to construct disentangled states.
32+13 pages, 3 figures; v2: main results largely improved. A comparison with v1 is presented in section 1; v3: matches the published version
References in corpus (51)
- Quantum entanglement
- Gauge Theory Correlators from Non-Critical String Theory
- Mixed State Entanglement and Quantum Error Correction
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Chaos and Quantum Thermalization
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Aspects of Holographic Entanglement Entropy
- A Covariant Holographic Entanglement Entropy Proposal
- Eternal Black Holes in AdS
- Black Holes: Complementarity or Firewalls?
- Information in Black Hole Radiation
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- The fuzzball proposal for black holes: an elementary review
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- Quantum corrections to holographic entanglement entropy
- Entanglement Renormalization and Holography
- Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Canonical Typicality
- Superadditivity of communication capacity using entangled inputs
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Holographic duality from random tensor networks
- Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
- The Gravity Dual of a Density Matrix
- Causality & holographic entanglement entropy
- An Apologia for Firewalls
- Holographic Entanglement of Purification
- Typicality for Generalized Microcanonical Ensembles
- The entanglement of purification
- Thermal Pure Quantum States at Finite Temperature
- The Uniqueness Theorem for Entanglement Measures
- Entanglement of purification: from spin chains to holography
- Surface/State Correspondence as a Generalized Holography
- Habemus Superstratum! A constructive proof of the existence of superstrata
- Thermalization and canonical typicality in translation-invariant quantum lattice systems
- Continuity bounds for entanglement
- Entanglement Wedge Cross Sections Require Tripartite Entanglement
- Leading order corrections to the quantum extremal surface prescription
- Structure of chaotic eigenstates and their entanglement entropy
- Black Holes, Information, and Hilbert Space for Quantum Gravity
- Simplifying additivity problems using direct sum constructions
- Improved thermal area law and quasi-linear time algorithm for quantum Gibbs states
- Looking at supersymmetric black holes for a very long time
- Probing phase transitions of holographic entanglement entropy with fixed area states
- Microcanonical Path Integrals and the Holography of small Black Hole Interiors
- Enhanced corrections near holographic entanglement transitions: a chaotic case study
- Holography for people with no time
- Counting Superstrata
- Almost one bit violation for the additivity of the minimum output entropy
- Beyond islands: A free probabilistic approach
- Squeezed ensemble for systems with first-order phase transitions