Edge States and Entanglement Entropy
classification
✦ hep-th
cond-matgr-qc
keywords
entanglemententropystatesboundariesapproximateareacoarse-grainingdefined
read the original abstract
It is known that gauge fields defined on manifolds with spatial boundaries support states localized at the boundaries. In this paper, we demonstrate how coarse-graining over these states can lead to an entanglement entropy. In particular, we show that the entanglement entropy of the ground state for the quantum Hall effect on a disk exhibits an approximate ``area " law.
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