Informational properties for Einstein-Maxwell-Dilaton Gravity
arXiv:2007.06001 · doi:10.1103/PhysRevD.104.026016
Abstract
We study the information quantities, including the holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP), over Gubser-Rocha model. The remarkable property of this model is the zero entropy density at ground state, in term of which we expect to extract novel, even singular informational properties in zero temperature limit. Surprisedly, we do not observe any singular behavior of entanglement-related physical quantities under the zero temperature limit. Nevertheless, we find a peculiar property from Gubser-Rocha model that in low temperature region, the HEE decreases with the increase of temperature, which is contrary to that in most holographic models. We argue that this novel phenomenon is brought by the singular property of the zero temperature limit, of which the analytical verification is present. In addition, we also compare the features of the information quantities in Gubser-Rocha model with those in Reissner-Nordstrom Anti-de Sitter (RN-AdS) black hole model. It is shown that the HEE and MI of Gubser-Rocha model are always larger than those of RN-AdS model, while the EoP behaves in an opposite way. Our results indicate that MI and EoP could have different abilities in describing mixed state entanglement.
23 pages, 14 figures, minor changes and references updated
References in corpus (13)
- Towards a derivation of holographic entanglement entropy
- Area laws in quantum systems: mutual information and correlations
- On the quantum, classical and total amount of correlations in a quantum state
- Entanglement as a Probe of Confinement
- A holographic proof of the strong subadditivity of entanglement entropy
- Deriving covariant holographic entanglement
- Holographic Entanglement of Purification from Conformal Field Theories
- Some Aspects of Entanglement Wedge Cross-Section
- Quantum Null Energy Condition and its (non)saturation in 2d CFTs
- Holographic entanglement entropy close to crossover/phase transition in strongly coupled systems
- Evolution of Entanglement Wedge Cross Section Following a Global Quench
- Analytic critical points of charged Renyi entropies from hyperbolic black holes
- QNEC2 in deformed holographic CFTs
Cited by in corpus (12)
- Reflected Entropy in Double Holography
- Mixed state entanglement measures as probe for confinement
- Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
- Mixed State Entanglement and Thermal Phase Transitions
- Informational properties of holographic Lifshitz field theory
- Entanglement measures for non-conformal D-branes
- Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
- Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity
- Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench
- Mixed-state Entanglement for AdS Born-Infeld Theory
- Trajectories of photons around a rotating black hole with unusual asymptotics
- Non-Conformal Behavior of Holographic Entanglement Measures