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Thermality and excited state R\'enyi entropy in two-dimensional CFT · Around

2016

Thermality and excited state R\'enyi entropy in two-dimensional CFT

Lin, Feng-Li, Wang, Huajia, Zhang, Jia-ju

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We evaluate one-interval R\'enyi entropy and entanglement entropy for the excited states of two-dimensional conformal field theory (CFT) on a cylinder, and examine their differences from the ones for the thermal state.

We assume the interval to be short so that we can use operator product expansion (OPE) of twist operators to calculate R\'enyi entropy in terms of sum of one-point functions of OPE blocks.
We find that the entanglement entropy for highly excited state and thermal state behave the same way after appropriate identification of the conformal weight of the state with the temperature.
However, there exists no such universal identification for the R\'enyi entropy in the short-interval expansion.

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