Fidelity susceptibility for SU(2)-invariant states

2008/09/29 by Xiaoguang Wang, Wang, Xiaoguang, Shi-Jiang Gu +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum Chromodynamics and Particle Interactions #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #quant-ph

paper · pdf · doi:10.48550/arxiv.0809.4898

Four pages and one figure

arxiv created 2008/09/29 · openalex publication_date 2008/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the fidelity susceptibility of two SU(2)-invariant reduced density matrices. Due to the commuting property of these matrices, analytical results for reduced fidelity susceptibility are obtained and can be applied to study quantum phase transitions in SU(2)-invariant systems. As an example, we analyze the quantum criticality of the spin-one bilinear-biquadratic model via the fidelity approach.

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