Behaviour of One-Site Entanglement and Reduced Fidelity in an Anisotropic Spin-2 chain

TL;DR

This paper investigates how entanglement and fidelity measures vary in the ground states of an anisotropic spin-2 chain using matrix product states, revealing distinctive phases and critical points.

Contribution

It introduces an exact ground state analysis of an anisotropic spin-2 chain using matrix product formalism, identifying phase characteristics and quantum critical behavior.

Findings

Distinctive antiferromagnetic, weak antiferromagnetic, and weak ferromagnetic phases identified.

Quantum correlation measures show nontrivial variation around the VBS point.

Critical points correspond to phase transitions in the spin chain.

Abstract

Utilizing the matrix product formalism, we have studied the variation of entanglement and fidelity measures in the MP ground states of a generic anisotropic spin 2 chain with nearest neighbour interactions and shared symmetries. These MP states represent the exact Ground State solutions of the system and display distinctive characteristics determined by a maximum of three parameters exhibiting one antiferromagnetic Haldane phase (AFMH), together with a secondary weak antiferromagnetic (WAFM) and a weak ferromagnetic phase (WFM). Using Transfer Matrix Method (TM), we have obtained nontrivial features in the variation of Quantum Correlation measures and QIT Measures around the VBS point for an acritical choice of the parameters, and a Quantum Critical Point, for a critical choice of the parameters, of the AFMH spin liquid phase of the system.