# Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries

@article{Estienne2022SecondRE, title={Second R{\'e}nyi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries}, author={Benoit Estienne and Yacine Ikhlef and Andrei Rotaru}, journal={SciPost Physics}, year={2022} }

We consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second Rényi entropy of an interval away from the boundary can be computed exactly, provided the same conformal boundary condition is applied on both sides. The result involves the annulus partition function. We compare our exact result with numerical computations for the critical quantum Ising chain with open boundary conditions. We find excellent agreement, and we…

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