Entanglement used to identify critical systems

Details Entanglement used to identify critical systems Entanglement used to identify critical systems

2005-03-10

arxiv.org/abs/cond-mat/0503235v2

Phys. Rev. A 72 (2005) 022318

Physics

Condensed Matter

Statistical Mechanics

4 pages, 7 figures

Scientific paper

10.1103/PhysRevA.72.022318

We promote use of the geometric entropy formula derived by Holzhey et. al. from conformal field theory, $S_\ell\sim ({c}/{3}) \log(\sin{\pi\ell}/{N})$, to identify critical regions in zero temperature 1D quantum systems. The method is demonstrated on a class of one-dimensional XY and $XYZ$ spin-1/2 chains, where the critical regions and their correponding central charges can be reproduced with quite modest computational efforts.

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