Local quantum uncertainty of SU(2) invariant states

TL;DR

This paper analyzes quantum correlations in SU(2) invariant spin systems using local quantum uncertainty, providing explicit formulas for specific spin configurations relevant to thermal equilibrium states.

Contribution

It derives analytic expressions for local quantum uncertainty in SU(2) invariant states of spin systems, a novel analytical result for these symmetric quantum states.

Findings

Explicit formulas for LQU in (2j+1)*2 and (2j+1)*3 systems

Application to thermal equilibrium states of isotropic spin systems

Enhanced understanding of quantum correlations in symmetric states

Abstract

In this paper, we investigated quantum correlation in SU (2) invariant quantum spin systems by local quantum uncertainty(LQU). These states are invariant under global rotations of both subsystems and in real physical systems, such states arise from thermal equilibrium states of isotropic spin systems. We derive an analytic expression for the LQU of (2j +1)*2 and (2j +1)*3 quantum spin systems with SU (2) symmetry.