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Physics at the entangling surface

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arxiv 1406.4167 v2 pith:VHV5YD5J submitted 2014-06-16 hep-th cond-mat.stat-mechquant-ph

Physics at the entangling surface

classification hep-th cond-mat.stat-mechquant-ph
keywords boundaryentanglemententanglingregionsurfaceargueassigncardy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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To consider the entanglement between the spatial region $A$ and its complement in a QFT, we need to assign a Hilbert space $\mathcal{H}_A$ to the region, by making a certain choice on the boundary $\partial A$. We argue that a small physical boundary is implicitly inserted at the entangling surface. We investigate these issues in the context of 2d CFTs, and show that we can indeed read off the Cardy states of the $c=1/2$ minimal model from the entanglement entropy of the critical Ising chain.

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