Entanglement and Density Matrix of a Block of Spins in AKLT Model - Quantum PhysicsReport as inadecuate




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Abstract: We study a 1-dimensional AKLT spin chain, consisting of spins $S$ in the bulkand $S-2$ at both ends. The unique ground state of this AKLT model is describedby the Valence-Bond-Solid VBS state. We investigate the density matrix of acontiguous block of bulk spins in this ground state. It is shown that thedensity matrix is a projector onto a subspace of dimension $S+1^{2}$. Thissubspace is described by non-zero eigenvalues and corresponding eigenvectors ofthe density matrix. We prove that for large block the von Neumann entropycoincides with Renyi entropy and is equal to $\lnS+1^{2}$.



Author: Ying Xu, Hosho Katsura, Takaaki Hirano, Vladimir E. Korepin

Source: https://arxiv.org/







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