Entanglement of Purification as a Measure of Non-Conformality

We have studied the entanglement of purification Eₚ in a non-conformal holographic model which is a 5- dimensional Einstein gravity coupled to a scalar field φ with a non-trivial potential V(φ). The dual 4-dimensional gauge theory is not conformal and exhibits a FG flow between two different fixed points. There are three parameters including energy scale Λ, model parameter φM and temperature T which control the behavior of the model. Interestingly, we have found that Eₚ can be used as a measure to probe the non-conformal behavior of the theory at both zero and finite temperature. Furthermore, we have found that if one considers two different mixed states characterized by distinct values of Λ/T, then the correlation between the subsystems of these states can be the same independent of Λ/T.