4.8 Article

Entanglement Entropy for the Long-Range Ising Chain in a Transverse Field

Journal

PHYSICAL REVIEW LETTERS
Volume 109, Issue 26, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.109.267203

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Funding

  1. Marie Curie project FP7-PEOPLE-2010-IIF ENGAGES [273524]
  2. ICREA Funding Source: Custom

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We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of the interaction. The phase diagram can be used as a guide for future experiments with trapped ions. We find two gapped phases, one dominated by the transverse field, exhibiting quasi-long-range order, and one dominated by the long-range interaction, with long-range Neel ordered ground states. We determine the location of the quantum critical points separating those two phases. We determine their critical exponents and central charges. In the phase with quasi-long-range order the ground states exhibit exotic corrections to the area law for the entanglement entropy coexisting with gapped entanglement spectra. DOI: 10.1103/PhysRevLett.109.267203

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