Entanglement used to identify critical systems

Abstract

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.

4 pages, 7 figures

References in corpus (4)

• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Geometric and Renormalized Entropy in Conformal Field Theory
• Global entanglement and quantum criticality in spin chains

Cited by in corpus (9)

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• Generation of long-living entanglement using cold trapped ions with pair cat states
• Dimensional reduction of Kitaev spin liquid at quantum criticality
• Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
• Entanglement and its applications in systems with many degrees of freedom