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

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 ™, 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.