arXiv Analytics

Sign in

arXiv:quant-ph/0202029AbstractReferencesReviewsResources

Scaling of Entanglement close to a Quantum Phase Transitions

A. Osterloh, L. Amico, G. Falci, R. Fazio

Published 2002-02-05, updated 2002-04-16Version 2

In this Letter we discuss the entanglement near a quantum phase transition by analyzing the properties of the concurrence for a class of exactly solvable models in one dimension. We find that entanglement can be classified in the framework of scaling theory. Further, we reveal a profound difference between classical correlations and the non-local quantum correlation, entanglement: the correlation length diverges at the phase transition, whereas entanglement in general remains short ranged.

Comments: 4 pages, 4 figures, revtex. Stylistic changes and format modified
Journal: Nature 416, 608 (2002)
Related articles: Most relevant | Search more
arXiv:1004.3674 [quant-ph] (Published 2010-04-21)
Fidelity and entanglement close to quantum phase transition in a two-leg $XXZ$ spin ladder
arXiv:0708.3494 [quant-ph] (Published 2007-08-26)
Fidelity Between Partial States as Signature of Quantum Phase Transitions
arXiv:0803.1914 [quant-ph] (Published 2008-03-13)
Geometric phases and quantum phase transitions