Upper bounds of holographic entanglement entropy growth rate for thermofield double states
arXiv:2205.15154 · doi:10.1007/JHEP10(2022)072
Abstract
We studied the upper bounds of the holographic entanglement entropy growth rate for thermofield double (TFD) states. By comparing the cases of vacuum AdS and charged AdS black holes, we conjecture: for all static planar or spherically symmetric asymptotically Schwarzschild-AdS black holes of same mass density or entropy density, the vacuum AdS black hole gives the maximum entanglement entropy growth rate. We gave proofs by assuming dominant energy condition. We also considered the AdS black hole spacetime with real scalar fields case, where the scalar fields violate the dominant energy condition and the bulk geometry is not asymptotically Schwarzschild-AdS. Numerical results show that this case vacuum black hole still has maximal growth rate if we fixed entropy. However, in the case of fixed energy, vacuum case has maximal growth rate of entanglement entropy only under standard quantization scheme.
arXiv comment29 pages; v3: corrected an error in the proof of Section 4.1, main conclusions unchanged
References in corpus (30)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- A Covariant Holographic Entanglement Entropy Proposal
- Eternal Black Holes in AdS
- Lecture Notes on Holographic Renormalization
- Information in Black Hole Radiation
- Ultimate physical limits to computation
- Replica Wormholes and the Entropy of Hawking Radiation
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- Quantum corrections to holographic entanglement entropy
- Complexity and Shock Wave Geometries
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- The entropy of Hawking radiation
- Time Dependence of Hawking Radiation Entropy
- Thermalization of Strongly Coupled Field Theories
- Holographic Entanglement Entropy
- Holographic Evolution of Entanglement Entropy
- Holographic Thermalization
- Deriving covariant holographic entanglement
- Quantum Algorithms: Entanglement Enhanced Information Processing
- Entanglement growth during thermalization in holographic systems
- Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
- Boundary Conditions and Dualities: Vector Fields in AdS/CFT
- Extremal surfaces as bulk probes in AdS/CFT
- Bondi-Sachs Formalism
- Holographic entanglement plateaux
- Holographic evolution of the mutual information
- Evolution of Two-Point Functions from Holography
- Holographic mutual information in global Vaidya-BTZ spacetime
- On Thermodynamics of AdS Black Holes with Scalar Hair
- Upper bound about cross-sections inside black holes and complexity growth rate