Physics at the entangling surface

Abstract

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.

15 pages, 2 figures; v2: discussions clarified; version to be published in a journal

References in corpus (4)

• Unusual Corrections to Scaling in Entanglement Entropy
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Entanglement Entropy of Non Unitary Conformal Field Theory
• Notes on Entanglement in Abelian Gauge Theories

Cited by in corpus (9)

• Entanglement hamiltonians in two-dimensional conformal field theory
• Entwinement and the emergence of spacetime
• Nuts and Bolts for Creating Space
• Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
• Renyi entropy, stationarity, and entanglement of the conformal scalar
• Relative Entanglement Entropies in 1+1-dimensional conformal field theories
• Quantum Entanglement of Locally Excited States in Maxwell Theory
• A Toy Model of Entwinement
• Remarks on Rindler Quantization