Informational properties for Einstein-Maxwell-Dilaton Gravity

TL;DR

This paper investigates informational properties like holographic entanglement entropy, mutual information, and entanglement of purification in the Gubser-Rocha model, revealing unique temperature-dependent behaviors and differences from other holographic models.

Contribution

It provides the first detailed analysis of informational quantities in the Gubser-Rocha model, highlighting novel zero-temperature properties and contrasting features with RN-AdS black holes.

Findings

HEE decreases with temperature at low T, contrary to typical models

Gubser-Rocha model's MI is larger than RN-AdS, EoP is smaller

No singular behavior observed in entanglement quantities at zero temperature

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.