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Estimating the central charge from the Rényi entanglement entropy

Published Web Location

https://arxiv.org/pdf/1703.10577.pdf
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Abstract

We calculate the von Neumann and Rényi bipartite entanglement entropy of the O(2) model with a chemical potential on a 1+1-dimensional Euclidean lattice with open and periodic boundary conditions. We show that the Calabrese-Cardy conformal field theory predictions for the leading logarithmic scaling of these entropies are consistent with a central charge c=1. This scaling survives the time-continuum limit and truncations of the microscopic degrees of freedom, modifications which allow us to connect the Lagrangian formulation to quantum Hamiltonians. At half-filling, the forms of the subleading corrections imposed by conformal field theory allow the determination of the central charge with an accuracy better than 2% for moderately sized lattices. We briefly discuss the possibility of estimating the central charge using quantum simulators.

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