Fidelity susceptibility for SU(2)-invariant states

TL;DR

This paper investigates the fidelity susceptibility of SU(2)-invariant states, providing analytical results that help identify quantum phase transitions, exemplified by the spin-one bilinear-biquadratic model.

Contribution

It derives analytical expressions for reduced fidelity susceptibility of SU(2)-invariant states, facilitating the study of quantum criticality in such systems.

Findings

Analytical formulas for fidelity susceptibility of SU(2)-invariant states

Application to quantum phase transition detection in spin models

Insights into quantum criticality of the bilinear-biquadratic model

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.