Holographic Complexity of Quantum Black Holes
arXiv:2112.04860 · doi:10.1007/JHEP02(2022)204
Abstract
We analyze different holographic complexity proposals for black holes that include corrections from bulk quantum fields. The specific setup is the quantum BTZ black hole, which encompasses in an exact manner the effects of conformal fields with large central charge in the presence of the black hole, including the backreaction corrections to the BTZ metric. Our results show that Volume Complexity admits a consistent quantum expansion and correctly reproduces known limits. On the other hand, the generalized Action Complexity picks up large contributions from the singularity, which is modified due to quantum backreaction, with the result that Action Complexity does not reproduce the expected classical limit. Furthermore, we show that the doubly-holographic setup allows computing the complexity coming purely from quantum fields - a notion that has proven evasive in usual holographic setups. We find that in holographic induced-gravity scenarios the complexity of quantum fields in a black hole background vanishes to leading order in the gravitational strength of CFT effects.
arXiv comment45 pages, 8 figures
References in corpus (57)
- 4D Gravity on a Brane in 5D Minkowski Space
- A bound on chaos
- Black holes and the butterfly effect
- Fast Scramblers
- Complexity Equals Action
- Quantum corrections to holographic entanglement entropy
- Entanglement Renormalization and Holography
- Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
- Bulk Locality and Quantum Error Correction in AdS/CFT
- Complexity and Shock Wave Geometries
- The Page curve of Hawking radiation from semiclassical geometry
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Locally Localized Gravity
- Localized shocks
- Complexity, action, and black holes
- Black Holes and Random Matrices
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Holography and Defect Conformal Field Theories
- Gravitational action with null boundaries
- The Second Law of Quantum Complexity
- Comments on Holographic Complexity
- On the Time Dependence of Holographic Complexity
- Complexity of Formation in Holography
- Information Transfer with a Gravitating Bath
- Quantum Black Holes as Holograms in AdS Braneworlds
- Information radiation in BCFT models of black holes
- Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
- The Quantum Gravity Dynamics of Near Extremal Black Holes
- Black hole entropy as entanglement entropy: a holographic derivation
- Switchbacks and the Bridge to Nowhere
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Quantum BTZ black hole
- Beyond Toy Models: Distilling Tensor Networks in Full AdS/CFT
- Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
- Symmetries Near the Horizon
- Extremal Surface Barriers
- Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
- Black funnels and droplets from the AdS C-metrics
- Holographic Complexity for Defects Distinguishes Action from Volume
- Holographic Complexity and Volume
- Complexity and action for warped AdS black holes
- Complexity in the presence of a boundary
- Does Boundary Distinguish Complexities?
- Holographic Complexity and Thermodynamic Volume
- General Bounds on Holographic Complexity
- Volume and complexity for warped AdS black holes
- Momentum/Complexity Duality and the Black Hole Interior
- A Generalized Momentum/Complexity Correspondence
- Proof of a Momentum/Complexity Correspondence
- Volume complexity for Janus geometries
- Action complexity in the presence of defects and boundaries
- Holographic Complexity: Stretching the Horizon of an Evaporating Black Hole
- Quantum Backreaction on Chronology Horizons
- Action Complexity for Semi-Classical Black Holes
- Negative Complexity of Formation: the Compact Dimensions Strike Back
- Holographic non-computers
- Holographic Complexity in Charged Accelerating Black Holes
Cited by in corpus (23)
- Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
- Higher-dimensional origin of extended black hole thermodynamics
- Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
- Black holes in dS
- Bath deformations, islands and holographic complexity
- BCFT in a Black Hole Background: An Analytical Holographic Model
- Quantum Kerr-de Sitter black holes in three dimensions
- Exploring Accelerating Hairy Black Holes in Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
- Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes
- Dissipative dynamics of an open quantum battery in the BTZ spacetime
- Entropy of Radiation with Dynamical Gravity
- Holographic complexity: braneworld gravity versus the Lloyd bound
- Perturbing a quantum black hole
- Mixed state information theoretic measures in boosted black brane
- Generalized holographic complexity of rotating black holes
- Circuit Complexity From Supersymmetric Quantum Field Theory With Morse Function
- The Complexity of Being Entangled
- The Lamb shift in the BTZ spacetime
- Random Circuits in the Black Hole Interior
- Non-trivial saddles in microscopic description of black holes
- Complexity of Magnetization and Magnetic Simplification
- Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
- Timelike entanglement and central charge for quantum BTZ black holes