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Kitaev chains with long-range pairing.

Davide Vodola1, Luca Lepori2, Elisa Ercolessi3

  • 1IPCMS (UMR 7504) and ISIS (UMR 7006), Université de Strasbourg and CNRS, 67000 Strasbourg, France and Dipartimento di Fisica, Università di Bologna and INFN, Via Irnerio 46, 40126 Bologna, Italy.

Physical Review Letters
|November 7, 2014
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Summary
This summary is machine-generated.

We explore a generalized Kitaev chain with long-range fermion pairing. This study reveals exotic gapped phases and breaks conformal symmetry, impacting entanglement entropy dynamics relevant to cold atomic ion experiments.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Topological Matter

Background:

  • The Kitaev chain is a fundamental model in condensed matter physics, exhibiting topological properties.
  • Understanding long-range interactions is crucial for describing realistic quantum systems.
  • Investigating generalizations of exactly solvable models provides insights into complex phenomena.

Purpose of the Study:

  • To propose and analyze a generalized Kitaev chain model with long-range p-wave pairing.
  • To explore the phase diagram and identify different gapped regimes.
  • To investigate the impact of long-range pairing on symmetry, entanglement, and dynamics.

Main Methods:

  • Utilizing the integrability of the generalized Kitaev chain model.
  • Analyzing correlation functions to characterize gapped phases.
  • Studying entanglement entropy and its dynamics after a quantum quench.

Main Results:

  • Demonstrated two types of gapped regimes with distinct correlation function decay (exponential/algebraic or purely algebraic).
  • Identified a breaking of conformal symmetry along critical lines for small decay exponents (α).
  • Observed a violation of the area law for entanglement entropy in gapped regions, detectable via entanglement dynamics.

Conclusions:

  • The generalized Kitaev chain with long-range pairing exhibits rich physics, including symmetry breaking and entanglement anomalies.
  • These findings offer potential relevance for ongoing experiments with cold atomic ions.
  • The study highlights the importance of long-range interactions in topological quantum matter.