Thermal states of the Kitaev honeycomb model: Bures metric analysis

2008/09/27 by Damian F. Abasto, Paolo Zanardi · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1103/physreva.79.012321

published as Phys. Rev. A 79, 012321 (2009) · 6 pages, 2 figures

arxiv created 2008/09/27 · openalex publication_date 2009/01/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We analyze the Bures metric over the canonical thermal states for the Kitaev honeycomb mode. In this way the effects of finite temperature on topological phase transitions can be studied. Different regions in the parameter space of the model can be clearly identified in terms of different temperature scaling behavior of the Bures metric tensor. Furthermore, we show a simple relation between the metric elements and the crossover temperature between the quasicritical and the quasiclassical regions. These results extend the analysis of Zhao and Zhou [e-print arXiv:/0803.0814v1] and Yang et al. [Phys. Rev. A 78, 012304 (2008)] to finite temperatures.

Citations

• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Ground-state fidelity in one-dimensional gapless models
• Anyons in an exactly solved model and beyond

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• Entanglement modes and topological phase transitions in superconductors