dorsal/arxiv
View SchemaSingle-copy entanglement in critical spin chains
| Authors | J. Eisert, M. Cramer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506250 |
| URL | https://arxiv.org/abs/quant-ph/0506250 |
| DOI | 10.1103/PhysRevA.72.042112 |
| Journal | Phys. Rev. A 72, 042112 (2005) |
Abstract
We introduce the single-copy entanglement as a quantity to assess quantum correlations in the ground state in quantum many-body systems. We show for a large class of models that already on the level of single specimens of spin chains, criticality is accompanied with the possibility of distilling a maximally entangled state of arbitrary dimension from a sufficiently large block deterministically, with local operations and classical communication. These analytical results -- which refine previous results on the divergence of block entropy as the rate at which EPR pairs can be distilled from many identically prepared chains, and which apply to single systems as encountered in actual experimental situations -- are made quantitative for general isotropic translationally invariant spin chains that can be mapped onto a quasi-free fermionic system, and for the anisotropic XY model. For the XX model, we provide the asymptotic scaling of ~(1/6) log_2(L), and contrast it with the block entropy. The role of superselection rules on single-copy entanglement in systems consisting of indistinguishable particles is emphasized.
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"abstract": "We introduce the single-copy entanglement as a quantity to assess quantum\ncorrelations in the ground state in quantum many-body systems. We show for a\nlarge class of models that already on the level of single specimens of spin\nchains, criticality is accompanied with the possibility of distilling a\nmaximally entangled state of arbitrary dimension from a sufficiently large\nblock deterministically, with local operations and classical communication.\nThese analytical results -- which refine previous results on the divergence of\nblock entropy as the rate at which EPR pairs can be distilled from many\nidentically prepared chains, and which apply to single systems as encountered\nin actual experimental situations -- are made quantitative for general\nisotropic translationally invariant spin chains that can be mapped onto a\nquasi-free fermionic system, and for the anisotropic XY model. For the XX\nmodel, we provide the asymptotic scaling of ~(1/6) log_2(L), and contrast it\nwith the block entropy. The role of superselection rules on single-copy\nentanglement in systems consisting of indistinguishable particles is\nemphasized.",
"arxiv_id": "quant-ph/0506250",
"authors": [
"J. Eisert",
"M. Cramer"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.72.042112",
"journal_ref": "Phys. Rev. A 72, 042112 (2005)",
"title": "Single-copy entanglement in critical spin chains",
"url": "https://arxiv.org/abs/quant-ph/0506250"
},
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