dorsal/arxiv
View SchemaEntanglement of Collectively Interacting Harmonic Chains
| Authors | R. G. Unanyan, M. Fleischhauer, D. Bruss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609044 |
| URL | https://arxiv.org/abs/quant-ph/0609044 |
| DOI | 10.1103/PhysRevA.75.040302 |
| Journal | Phys.Rev. A 75 040302 (R) 2007 |
Abstract
We study the ground-state entanglement of one-dimensional harmonic chains that are coupled to each other by a collective interaction as realized e.g. in an anisotropic ion crystal. Due to the collective type of coupling, where each chain interacts with every other one in the same way,the total system shows critical behavior in the direction orthogonal to the chains while the isolated harmonic chains can be gapped and non-critical. We derive lower and most importantly upper bounds for the entanglement,quantified by the von Neumann entropy, between a compact block of oscillators and its environment. For sufficiently large size of the subsystems the bounds coincide and show that the area law for entanglement is violated by a logarithmic correction.
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"abstract": "We study the ground-state entanglement of one-dimensional harmonic chains\nthat are coupled to each other by a collective interaction as realized e.g. in\nan anisotropic ion crystal. Due to the collective type of coupling, where each\nchain interacts with every other one in the same way,the total system shows\ncritical behavior in the direction orthogonal to the chains while the isolated\nharmonic chains can be gapped and non-critical. We derive lower and most\nimportantly upper bounds for the entanglement,quantified by the von Neumann\nentropy, between a compact block of oscillators and its environment. For\nsufficiently large size of the subsystems the bounds coincide and show that the\narea law for entanglement is violated by a logarithmic correction.",
"arxiv_id": "quant-ph/0609044",
"authors": [
"R. G. Unanyan",
"M. Fleischhauer",
"D. Bruss"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.75.040302",
"journal_ref": "Phys.Rev. A 75 040302 (R) 2007",
"title": "Entanglement of Collectively Interacting Harmonic Chains",
"url": "https://arxiv.org/abs/quant-ph/0609044"
},
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