Universal divergence of the Renyi entropy of a thinly sliced torus at the Ising fixed point
arXiv:1904.08955 · doi:10.1103/PhysRevB.100.045139
Abstract
The entanglement entropy of a quantum critical system can provide new universal numbers that depend on the geometry of the entangling bipartition. We calculate a universal number called , which arises when a quantum critical system is embedded on a two-dimensional torus and bipartitioned into two cylinders. In the limit when one of the cylinders is a thin slice through the torus, parameterizes a divergence that occurs in the entanglement entropy sub-leading to the area law. Using large-scale Monte Carlo simulations of an Ising model in 2+1 dimensions, we access the second Renyi entropy, and determine that, at the Wilson-Fisher (WF) fixed point, . This result is significantly different from its value for the Gaussian fixed point, known to be .
arXiv comment10 pages, 10 figures
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