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| Paper IPM / P / 17386 |
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| Abstract: | |
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In this paper, we investigate the second and third pseudo Rényi entanglement entropies (PREE)
for a locally excited state |�â?© and its time evolution |�â?© = Exp(â??iHt) |�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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