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Paper   IPM / Physic / 16058
School of Physics
  Title:   Holographic Entanglement of Purification near a Critical Point
1.  B. Amrahi
2.  M. Ali-Akbari
3.  M. Asadi
  Status:   Preprint
  Year:  2021
  Supported by:  IPM
In the presence of finite chemical potential µ, we holographically compute the entanglement of purification in a 2+- and 3+1-dimensional filed theory and also in a 3+1-dimensional field theory with a critical point. ?We observe that compared to 2+1- and 3+1-dimensional filed theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of µ/T where T is the temperature of the filed 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.

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