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

by Benoit Estienne, Yacine Ikhlef, Andrei Rotaru

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Submission summary

Authors (as Contributors): Andrei Rotaru
Submission information
Preprint link: scipost_202202_00036v1
Date accepted: 2022-03-24
Date submitted: 2022-02-21 10:00
Submitted by: Rotaru, Andrei
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical

Abstract

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 analyse in detail the finite-size corrections, which are known to be much larger than for a periodic system.

Published as SciPost Phys. 12, 141 (2022)



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