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Cited by 1,860Quantum many-body systemsQuantum Information and CryptographyTheoretical and Computational Physics

Scaling of entanglement close to a quantum phase transition

Open access
Osterloh, A., Amico, Luigi, Falci, G., Fazio, Rosario·2002·Nature
DOI 10.1038/416608a
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Abstract

Classical phase transitions occur when a physical system reaches a state below a critical temperature characterized by macroscopic order. Quantum phase transitions occur at absolute zero; they are induced by the change of an external parameter or coupling constant, and are driven by quantum fluctuations. Examples include transitions in quantum Hall systems, localization in Si-MOSFETs (metal oxide silicon field-effect transistors; ref. 4) and the superconductor-insulator transition in two-dimensional systems. Both classical and quantum critical points are governed by a diverging correlation length, although quantum systems possess additional correlations that do not have a classical counterpart. This phenomenon, known as entanglement, is the resource that enables quantum computation and communication. The role of entanglement at a phase transition is not captured by statistical mechanics-a complete classification of the critical many-body state requires the introduction of concepts from quantum information theory. Here we connect the theory of critical phenomena with quantum information by exploring the entangling resources of a system close to its quantum critical point. We demonstrate, for a class of one-dimensional magnetic systems, that entanglement shows scaling behaviour in the vicinity of the transition point.

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  • Osterloh et al. and Osborne and Nielsen found that one- and two-spin entanglement measures in the XY model display a peak either near or at the critical point.

    “Their analysis, focused on single-spin entropies [12] and on two-spin quantum correlations [12,14], suggestively shows that these one-and two-spin entanglement measures display a peak either near or at the critical point.”

    From Entanglement in Quantum Critical Phenomena (2003) · cites this paper as [14]

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Research works printed but not linked: 1

  1. [9]J. Preskill, J. Mod. Optics 47 , 127-137 (2000). see for example J. Brooke, D. Bitko, T.F. Rosenbaum, and G. Aeppli, Science 284, 779 (1999).

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Authors
Osterloh, A., Amico, L., Falci, G., & Fazio, R.
Affiliations
University of Catania (IT)
ORCID
Venue
Nature
Publisher
Springer Science and Business Media LLC
Published
2002-04
Volume
416
Issue
6881
Pages
608-610
ISSN
  • 0028-0836 (ISSN-L)
  • 1476-4687
DOI
10.1038/416608a
OpenAlex
W2002598418
Cited by
1,860
References
29
Citations by year
2026: 53 · 2025: 80 · 2024: 62 · 2023: 50 · 2022: 77 · 2021: 77 · 2020: 71 · 2019: 66 · 2018: 80 · 2017: 72 · 2016: 85 · 2015: 65 · 2014: 71 · 2013: 62 · 2012: 71
FWCI
45.57
Type
journal article
Language
en
Open access
Licence
www.springer.com/tdm (tdm)
Locations
  • Nature (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • Scuola Normale Superiore di Pisa (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
Keywords
quantum entanglement, quantum phase transitions, quantum critical point, entanglement scaling, one-dimensional magnetic systems, quantum criticality, quantum information, correlation length divergence

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