Entanglement and Density Matrix of a Block of Spins in AKLT Model
| dc.creator | Xu, Ying | |
| dc.creator | Katsura, Hosho | |
| dc.creator | Hirano, Takaaki | |
| dc.creator | Korepin, Vladimir E. | |
| dc.date | 2008-02-21 | |
| dc.date | 2008-04-04 | |
| dc.date.accessioned | 2026-07-07T10:15:32Z | |
| dc.date.available | 2026-07-07T10:15:32Z | |
| dc.description | 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 $\ln(S+1)^{2}$. | |
| dc.description | Revised version, typos corrected, references added, 31 pages | |
| dc.identifier | https://arxiv.org/abs/0802.3221 | |
| dc.identifier | http://arxiv.org/abs/0802.3221 | |
| dc.identifier | Jour. Stat. Phys. vol 133, no. 2, 347-377 (2008) | |
| dc.identifier | doi:10.1007/s10955-008-9617-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173203 | |
| dc.subject | Quantum Physics | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.title | Entanglement and Density Matrix of a Block of Spins in AKLT Model | |
| dc.type | text |