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Paper   IPM / Particles And Accelerator / 16473
School of Particles and Accelerator
  Title:   Temperature Dependence of Entanglement of Purification in Presence of Chemical Potential
  Author(s): 
1.  Bahman Amrahi
2.  Mohammad Ali-Akbari
3.  Mohammad Asadi
  Status:   Published
  Journal: Phys. Rev. D
  No.:  086019
  Vol.:  103
  Year:  2021
  Supported by:  IPM
  Abstract:
Using holographic idea, we study the entanglement of purification in a field theory with a critical point in intermediate and low temperature regime. This theory includes temperature TTT as well as chemical potential μμ. In the intermediate regime, due to chemical potential, we observe that new terms proportional to temperature square appear in the final result of entanglement of purification or equivalently, apart from T0T^0T0 and T4T^4T4 terms in the case of μ=0μ=0, it contains the terms proportional to T2T^2T2. Our results also indicate that the entanglement of purification, i.e. the correlation between subsystems, can decrease or increase depending on the value of μT Tμ�?? when the other parameters are kept fixed. However, in the low temperature limit, the correlation always decreases, comparing to the μ=0μ=0 case, independent of the value of μT Tμ�?? when the other parameters do not alter. The existence of a critical point in the theory changes the behavior of entanglement of purification in such a way that the entanglement of purification experiences a maximum or minimum. Moreover, near the critical point, we analytically show that the critical exponent is equal to 0.5 in both regimes and also the term proportional to T2T^2T2 changes sign and becomes negative in the intermediate regime.

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