Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs
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We study Rényi entropy of locally excited states with considering the thermal and boundary effects respectively in two dimensional conformal field theories (CFTs). Firstly, we consider locally excited states obtained by acting primary operators on a thermal state in low temperature limit. The Rényi entropy is summation of contribution from thermal effect and local excitation. Secondly, we mainly study the Rényi entropy of locally excited states in 2D CFT with a boundary. We show that the time evolution of Rényi entropy is affected by the boundary, but does not depend on the boundary condition. Moreover, we show that the maximal value of Rényi entropy always coincides with the log of quantum dimension of the primary operator. In terms of quasi-particle interpretation, the boundary behaves as an infinite potential barrier which reflects any energy moving towards it.
KeywordsField Theories in Lower Dimensions Nonperturbative Effects
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- A.M. Polyakov, Non-Hamiltonian approach to the quantum field theory at small distances, submitted to Zh. Eksp. Teor. Fiz. (1974) [INSPIRE].
- J.-M. Stéphan and J. Dubail, Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects, J. Stat. Mech. (2011) P08019 [arXiv:1105.4846].