Scaling of entanglement entropy and hyperbolic geometry

Details Scaling of entanglement entropy and hyperbolic geometry Scaling of entanglement entropy and hyperbolic geometry

2011-12-23

arxiv.org/abs/1112.5566v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 7 figures, Symposium on Interface between Quantum Information and Statistical Physics

Scientific paper

Various scaling relations of the entanglement entropy are reviewed. Based on the scaling, I would like to point out similarity of mathematical formulation among recent topics in wide research area. In particular, the scaling plays crucial roles on identifying a quantum system with a physically different classical system. Close connection between the scaling and hyperbolic geometry and contrast between bulk/edge correspondence and compactification for the identification are also addressed.

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