期刊
JOURNAL OF STATISTICAL PHYSICS
卷 133, 期 2, 页码 347-377出版社
SPRINGER
DOI: 10.1007/s10955-008-9617-9
关键词
AKLT; Density matrix; Entanglement; Valence Bond Solid
We study a 1-dimensional AKLT spin chain, consisting of spins S in the bulk and S/2 at both ends. The unique ground state of this AKLT model is described by the Valence-Bond-Solid (VBS) state. We investigate the density matrix of a contiguous block of bulk spins in this ground state. It is shown that the density matrix is a projector onto a subspace of dimension (S + 1)(2). This subspace is described by non-zero eigenvalues and corresponding eigenvectors of the density matrix. We prove that for large block the von Neumann entropy coincides with Renyi entropy and is equal to ln (S + 1)(2).
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