Entanglement in an SU(n) Valence-Bond-Solid State
| dc.creator | Katsura, Hosho | |
| dc.creator | Hirano, Takaaki | |
| dc.creator | Korepin, Vladimir E. | |
| dc.date | 2007-11-25 | |
| dc.date | 2007-12-28 | |
| dc.date.accessioned | 2026-07-07T09:29:47Z | |
| dc.date.available | 2026-07-07T09:29:47Z | |
| dc.description | We investigate entanglement properties in the ground state of the open/periodic SU($n$) generalized valence-bond-solid state consisting of representations of SU($n$). We obtain exact expression for the reduced density matrix of a block of contiguous spins and explicitly evaluate the von Neumann and the Rényi entropies. We discover that the Rényi entropy is independent of the parameter $α$ in the limit of large block sizes and its value $2 \log n$ coincides with that of von Neumann entropy. We also find the direct relation between the reduced density matrix of the subsystem and edge states for the corresponding open boundary system. | |
| dc.description | 16 pages, 2 figures; one reference added | |
| dc.identifier | https://arxiv.org/abs/0711.3882 | |
| dc.identifier | http://arxiv.org/abs/0711.3882 | |
| dc.identifier | J. Phys. A:Math & Theor. 41, 135304(2008). | |
| dc.identifier | doi:10.1088/1751-8113/41/13/135304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157915 | |
| dc.subject | Quantum Physics | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.title | Entanglement in an SU(n) Valence-Bond-Solid State | |
| dc.type | text |