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Studying quantum spin systems through entanglement estimators.

Tommaso Roscilde1, Paola Verrucchi, Andrea Fubini

  • 1Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA.

Physical Review Letters
|November 5, 2004
PubMed
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Quantum phase transitions in antiferromagnetic chains are detected using entanglement. Entanglement vanishes below critical fields and reappears, indicating a quantum phase transition.

Area of Science:

  • Condensed Matter Physics
  • Quantum Information Theory

Background:

  • Anisotropic S=1/2 antiferromagnetic chains exhibit quantum phase transitions at zero temperature.
  • Entanglement of formation quantifies quantum correlations in many-body systems.

Purpose of the Study:

  • Investigate the field dependence of entanglement of formation in these chains.
  • Identify entanglement signatures of a T=0 field-driven quantum phase transition.

Main Methods:

  • Quantum Monte Carlo simulations were employed.
  • Analysis focused on entanglement estimators and their behavior near criticality.

Main Results:

  • Entanglement estimators showed abrupt changes at the quantum phase transition.
  • Entanglement vanished below the critical field, corresponding to a factorized state.

Related Experiment Videos

  • Multispin entanglement was significantly enhanced at the quantum-critical point, indicated by a minimum in the entanglement ratio.
  • Conclusions:

    • Entanglement estimators provide a novel method for detecting quantum phase transitions.
    • The study highlights the role of entanglement in characterizing quantum critical phenomena.