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Title: Reduced fidelity in the Kitaev honeycomb model

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.

Authors:
;  [1]; ;  [1]
  1. Department of Physics and ITP, The Chinese University of Hong Kong (Hong Kong)
Publication Date:
OSTI Identifier:
21437876
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.81.062350; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL MODELS; PEAKS; PHASE TRANSFORMATIONS; QUANTUM MECHANICS; TOPOLOGY; MATHEMATICS; MECHANICS

Citation Formats

Wang, Zhi, Ma, Tianxing, Department of Physics, Beijing Normal University, Beijing 100875, Gu, Shi-Jian, and Lin, Hai-Qing. Reduced fidelity in the Kitaev honeycomb model. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.062350.
Wang, Zhi, Ma, Tianxing, Department of Physics, Beijing Normal University, Beijing 100875, Gu, Shi-Jian, & Lin, Hai-Qing. Reduced fidelity in the Kitaev honeycomb model. United States. https://doi.org/10.1103/PHYSREVA.81.062350
Wang, Zhi, Ma, Tianxing, Department of Physics, Beijing Normal University, Beijing 100875, Gu, Shi-Jian, and Lin, Hai-Qing. 2010. "Reduced fidelity in the Kitaev honeycomb model". United States. https://doi.org/10.1103/PHYSREVA.81.062350.
@article{osti_21437876,
title = {Reduced fidelity in the Kitaev honeycomb model},
author = {Wang, Zhi and Ma, Tianxing and Department of Physics, Beijing Normal University, Beijing 100875 and Gu, Shi-Jian and Lin, Hai-Qing},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.81.062350},
url = {https://www.osti.gov/biblio/21437876}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 81,
place = {United States},
year = {Tue Jun 15 00:00:00 EDT 2010},
month = {Tue Jun 15 00:00:00 EDT 2010}
}