dorsal/arxiv
View SchemaEntanglement and factorized ground states in two-dimensional quantum antiferromagnets
| Authors | Tommaso Roscilde, Paola Verrucchi, Andrea Fubini, Stephan Haas, Valerio Tognetti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412098 |
| URL | https://arxiv.org/abs/quant-ph/0412098 |
| DOI | 10.1103/PhysRevLett.94.147208 |
| Journal | Phys. Rev. Lett. 94, 147208 (2005) |
Abstract
Making 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.
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"abstract": "Making use of exact results and quantum Monte Carlo data for the entanglement\nof formation, we show that the ground state of anisotropic two-dimensional\nS=1/2 antiferromagnets in a uniform field takes the classical-like form of a\nproduct state for a particular value and orientation of the field, at which the\npurely quantum correlations due to entanglement disappear. Analytical\nexpressions for the energy and the form of such states are given, and a novel\ntype of exactly solvable two-dimensional quantum models is therefore singled\nout. Moreover, we show that the field-induced quantum phase transition present\nin the models is unambiguously characterized by a cusp minimum in the\npairwise-to-global entanglement ratio R, marking the quantum-critical\nenhancement of \\emph{multipartite} entanglement. A detailed discussion is\nprovided on the universality of the cusp in R as a signature of quantum\ncritical behavior entirely based on entanglement.",
"arxiv_id": "quant-ph/0412098",
"authors": [
"Tommaso Roscilde",
"Paola Verrucchi",
"Andrea Fubini",
"Stephan Haas",
"Valerio Tognetti"
],
"categories": [
"quant-ph",
"cond-mat.str-el"
],
"doi": "10.1103/PhysRevLett.94.147208",
"journal_ref": "Phys. Rev. Lett. 94, 147208 (2005)",
"title": "Entanglement and factorized ground states in two-dimensional quantum antiferromagnets",
"url": "https://arxiv.org/abs/quant-ph/0412098"
},
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