Reduced fidelity in the Kitaev honeycomb model

2010/05/31 by Zhi Wang, Tianxing Ma, Shi-Jian Gu +1
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Computer science #Condensed matter physics #Fidelity #Geometry #High fidelity #Honeycomb #Mathematics #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Statistical physics #Topology (electrical circuits) #cond-mat.str-el

paper · pdf · doi:10.1103/physreva.81.062350

published as Phys. Rev. A 81, 062350 (2010) · 5 pages, 9 figures

openalex publication_date 2010/06/30 · arxiv created 2010/07/28 · arxiv updated 2010/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study reduced fidelity and reduced fidelity susceptibility in the Kitaev honeycomb model. It is shown that the nearest-two-site reduced fidelity susceptibility manifests itself as a peak at the quantum phase transition point, although the one-site reduced fidelity susceptibility vanishes. Our results directly reveal that the reduced fidelity susceptibility can be used to characterize the quantum phase transition in the Kitaev honeycomb model, which suggests that, despite its local nature, the reduced fidelity susceptibility is an accurate marker of the topological phase transition when it is properly chosen.

Citations

• Continuous Quantum Phase Transitions
• Fidelity analysis of topological quantum phase transitions
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