dorsal/arxiv
View SchemaMultipartite Entanglement in a One-Dimensional Time Dependent Ising Model
| Authors | Arul Lakshminarayan, V. Subrahmanyam |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409039 |
| URL | https://arxiv.org/abs/quant-ph/0409039 |
| DOI | 10.1103/PhysRevA.71.062334 |
| Journal | Phys. Rev. A 71, 062334 (2005) |
Abstract
We study multipartite entanglement measures for a one-dimensional Ising chain that is capable of showing both integrable and nonintegrable behaviour. This model includes the kicked transverse Ising model, which we solve exactly using the Jordan-Wigner transform, as well as nonintegrable and mixing regimes. The cluster states arise as a special case and we show that while one measure of entanglement is large, another measure can be exponentially small, while symmetrizing these states with respect to up and down spins, produces those with large entanglement content uniformly. We also calculate exactly some entanglement measures for the nontrivial but integrable case of the kicked transverse Ising model. In the nonintegrable case we begin on extensive numerical studies that shows that large multipartite entanglement is accompanied by diminishing two-body correlations, and that time averaged multipartite entanglement measures can be enhanced in nonintegrable systems.
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"abstract": "We study multipartite entanglement measures for a one-dimensional Ising chain\nthat is capable of showing both integrable and nonintegrable behaviour. This\nmodel includes the kicked transverse Ising model, which we solve exactly using\nthe Jordan-Wigner transform, as well as nonintegrable and mixing regimes. The\ncluster states arise as a special case and we show that while one measure of\nentanglement is large, another measure can be exponentially small, while\nsymmetrizing these states with respect to up and down spins, produces those\nwith large entanglement content uniformly. We also calculate exactly some\nentanglement measures for the nontrivial but integrable case of the kicked\ntransverse Ising model. In the nonintegrable case we begin on extensive\nnumerical studies that shows that large multipartite entanglement is\naccompanied by diminishing two-body correlations, and that time averaged\nmultipartite entanglement measures can be enhanced in nonintegrable systems.",
"arxiv_id": "quant-ph/0409039",
"authors": [
"Arul Lakshminarayan",
"V. Subrahmanyam"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.062334",
"journal_ref": "Phys. Rev. A 71, 062334 (2005)",
"title": "Multipartite Entanglement in a One-Dimensional Time Dependent Ising Model",
"url": "https://arxiv.org/abs/quant-ph/0409039"
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