Affiliation:
1. Laboratory of Theoretical and High Energy Physics
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.
Subject
General Physics and Astronomy
Cited by
2 articles.
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1. The operator algebra of cyclic orbifolds;Journal of Physics A: Mathematical and Theoretical;2023-10-26
2. Zero-mode entanglement across a conformal defect;Journal of Statistical Mechanics: Theory and Experiment;2023-05-01