Abstract
We study the holographic information quantities, including the holographic entanglement entropy (HEE), the holographic mutual information (HMI) and the minimum cross section of the entanglement wedge (EWCS), over a special black brane geometry, which has a vanishing ground-state entropy. Thanks to the zero entropy density at the ground state, we expect to extract novel, even singular informational properties in the zero-temperature limit. Surprisingly, we do not observe any singular behavior of entanglement-related physical quantities in the zero-temperature limit. Nevertheless, we find a peculiar property from this model that in the low-temperature region, the HEE decreases with the 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. In addition, we also compare the features of the information quantities in this special black brane geometry with those in Reissner-Nordstrom anti--de Sitter (RN-AdS) black brane geometry. It is shown that the HEE and HMI of this vanishing ground-state entropy model are always larger than those of RN-AdS geometry, while the EWCS behaves oppositely. Our results indicate that the HMI and EWCS could have different abilities in describing mixed state entanglement.
Highlights
Quantum entanglement is playing an increasingly prominent role in modern physics, from condensed matter theory to the black hole theory
We study the information quantities, including holographic entanglement entropy (HEE), mutual information (MI), and EWCS, over the Gubser-Rocha model
As the separation size increases beyond a certain critical value, both MI and EWCS have nontrivial values
Summary
Quantum entanglement is playing an increasingly prominent role in modern physics, from condensed matter theory to the black hole theory. The progress shows that EWCS should be closely related to the measures of mixed-state entanglement [45] studied some holographic informational quantities, including HEE, MI, and EoP, and they argued that the EWCS may be a better entanglement measure of the mixed state than MI. In contrast with RN-AdS geometry, which has a nonvanishing ground-state entropy density, the Gubser-Rocha model provides a novel platform to study the holographic phenomena. We aim to study the universal properties of HEE, MI, and EWCS over the Gubser-Rocha model, and to compare the results from such a model with vanishing ground-state entropy density with those from RN-AdS geometry studied in Ref.
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