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Paper   IPM / Physic / 17386
School of Physics
  Title:   Pseudo Renyi Entanglement Entropies For an Excited State and Its Time Evolution in a 2D CFT
  Author(s):  F. Omidi
  Status:   Preprint
  Year:  2023
  Supported by:  IPM
In this paper, we investigate the second and third pseudo Rényi entanglement entropies (PREE) for a locally excited state |Ï?â?© and its time evolution |Ï?â?© = Exp(â??iHt) |Ï?â?© in a two-dimensional conformal field theory whose field content is a free massless scalar field. We consider excited states which are constructed by applying primary operators at time t = 0, on the vacuum state. We study the time evolution of the PREE for an entangling region in the shape of finite and semi-infinite intervals at zero temperature. It is observed that the PREE is always a complex number for non-zero time t and is a pure real number at t = 0. Moreover, we discuss on its dependence on the location x_m of the center of the entangling region. Furthermore, we consider the effect of temperature on this quantity. We find that by increasing the temperature, the real part of the PREE decreases at late times. However, its imaginary part is neither an increasing nor a decreasing function of the temperature.

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