Non-Conformal Behavior of Holographic Entanglement Measures

TL;DR

This paper investigates how non-conformal effects and temperature influence holographic entanglement measures, revealing that non-conformality decreases entanglement entropy but increases mutual information and entanglement of purification, with temperature effects varying across measures.

Contribution

The study provides analytical insights into the behavior of holographic entanglement measures in non-conformal backgrounds at different temperatures, highlighting their distinct responses.

Findings

Non-conformal effects decrease HEE and increase HMI and EoP.

Temperature increases HEE and decreases HMI, with no clear effect on EoP.

Near phase transition, zero temperature states are more entanglement-favorable.

Abstract

We evaluate the holographic entanglement entropy, HEE, holographic mutual information, HMI, and holographic entanglement of purification, EoP, in a non-conformal model at zero and finite temperature. In order to find the analytical results we consider some specific regimes of the parameter space. We find that the non-conformal effects decrease the redefined HEE and increase the redefined HMI and EoP in the all studied regimes. On the other side, the temperature effects increase (decrease) the redefined HEE (HMI) in the all studied regimes while it has no definite effect on the redefined EoP. Finally, from the information point of view, we find that in the vicinity of the phase transition the zero temperature state is more favorable than the finite temperature one.