dorsal/arxiv
View SchemaEntangling power of permutation invariant quantum states
| Authors | Vladislav Popkov, Mario Salerno, Gunter Schuetz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506209 |
| URL | https://arxiv.org/abs/quant-ph/0506209 |
| DOI | 10.1103/PhysRevA.72.032327 |
| Journal | Phys. Rev. E72, 032327 (2005) |
Abstract
We investigate the von Neumann entanglement entropy as function of the size of a subsystem for permutation invariant ground states in models with finite number of states per site, e.g., in quantum spin models. We demonstrate that the entanglement entropy of $n$ sites in a system of length $L$ generically grows as $\sigma\log_{2}[2\pi en(L-n)/L]+C$, where $\sigma$ is the on-site spin and $C$ is a function depending only on magnetization.
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"abstract": "We investigate the von Neumann entanglement entropy as function of the size\nof a subsystem for permutation invariant ground states in models with finite\nnumber of states per site, e.g., in quantum spin models. We demonstrate that\nthe entanglement entropy of $n$ sites in a system of length $L$ generically\ngrows as $\\sigma\\log_{2}[2\\pi en(L-n)/L]+C$, where $\\sigma$ is the on-site spin\nand $C$ is a function depending only on magnetization.",
"arxiv_id": "quant-ph/0506209",
"authors": [
"Vladislav Popkov",
"Mario Salerno",
"Gunter Schuetz"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.72.032327",
"journal_ref": "Phys. Rev. E72, 032327 (2005)",
"title": "Entangling power of permutation invariant quantum states",
"url": "https://arxiv.org/abs/quant-ph/0506209"
},
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