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29 March 2024
 
  » arxiv » quant-ph/0412098

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Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
Tommaso Roscilde ; Paola Verrucchi ; Andrea Fubini ; Stephan Haas ; Valerio Tognetti ;
Date 13 Dec 2004
Subject Quantum Physics; Strongly Correlated Electrons | quant-ph cond-mat.str-el
AbstractMaking use of exact results and quantum Monte Carlo data for the entanglement of formation, we show that the ground state of anisotropic two-dimensional S=1/2 antiferromagnets in a uniform field takes the classical-like form of a product state for a particular value and orientation of the field, at which the purely quantum correlations due to entanglement disappear. Analytical expressions for the energy and the form of such states are given, and a novel type of exactly solvable two-dimensional quantum models is therefore singled out. Moreover, we show that the field-induced quantum phase transition present in the models is unambiguously characterized by a cusp minimum in the pairwise-to-global entanglement ratio R, marking the quantum-critical enhancement of emph{multipartite} entanglement. A detailed discussion is provided on the universality of the cusp in R as a signature of quantum critical behavior entirely based on entanglement.
Source arXiv, quant-ph/0412098
Other source [GID 386395] pmid15904106
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