Comb entanglement in quantum spin chains
| dc.creator | Keating, J. P. | |
| dc.creator | Mezzadri, F. | |
| dc.creator | Novaes, M. | |
| dc.date | 2006-04-04 | |
| dc.date.accessioned | 2026-07-07T08:47:03Z | |
| dc.date.available | 2026-07-07T08:47:03Z | |
| dc.description | Bipartite entanglement in the ground state of a chain of $N$ quantum spins can be quantified either by computing pairwise concurrence or by dividing the chain into two complementary subsystems. In the latter case the smaller subsystem is usually a single spin or a block of adjacent spins and the entanglement differentiates between critical and non-critical regimes. Here we extend this approach by considering a more general setting: our smaller subsystem $S_A$ consists of a {\it comb} of $L$ spins, spaced $p$ sites apart. Our results are thus not restricted to a simple `area law', but contain non-local information, parameterized by the spacing $p$. For the XX model we calculate the von-Neumann entropy analytically when $N\to \infty$ and investigate its dependence on $L$ and $p$. We find that an external magnetic field induces an unexpected length scale for entanglement in this case. | |
| dc.description | 6 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0604016 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0604016 | |
| dc.identifier | Phys. Rev. A 74, 012311 (2006) | |
| dc.identifier | doi:10.1103/PhysRevA.74.012311 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143464 | |
| dc.subject | Quantum Physics | |
| dc.title | Comb entanglement in quantum spin chains | |
| dc.type | text |