Regular Article – Theoretical Physics
Holographic entanglement of purification near a critical point
Department of Physics, Shahid Beheshti University, Tehran, Iran
2 School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
Accepted: 8 November 2020
Published online: 14 December 2020
In the presence of finite chemical potential , we holographically compute the entanglement of purification in a - and -dimensional field theory and also in a -dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to - and -dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of where T is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.
© The Author(s) 2020
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