dorsal/arxiv
View SchemaWhen Do Superfluidity and Long Range Order Imply Entanglement?
| Authors | Vlatko Vedral |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703129 |
| URL | https://arxiv.org/abs/quant-ph/0703129 |
Abstract
We investigate tacitly assumed relationships between the concepts of super-fluidity (-conductivity), long range order and entanglement. We prove that the three are by no means equivalent, but that notwithstanding, some rigorous implication can be established between them. This leads to three different, albeit frequently related, notions of "criticality", all of which are exemplified within the Hubbard model in the low density regime. We use Peierls' method of twisted Hamiltonians to link the existence of entanglement to superfluidity and (quasi)-long range order. As an application of our formalism, we show that recent experiments with cold atoms already prove the existence of the field theoretic, spatial entanglement in two dimensions. More interestingly, the appearance of entanglement in these experiments seems to be intimately related to the phase transition of the Kosterlitz Thouless type.
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"abstract": "We investigate tacitly assumed relationships between the concepts of\nsuper-fluidity (-conductivity), long range order and entanglement. We prove\nthat the three are by no means equivalent, but that notwithstanding, some\nrigorous implication can be established between them. This leads to three\ndifferent, albeit frequently related, notions of \"criticality\", all of which\nare exemplified within the Hubbard model in the low density regime. We use\nPeierls\u0027 method of twisted Hamiltonians to link the existence of entanglement\nto superfluidity and (quasi)-long range order. As an application of our\nformalism, we show that recent experiments with cold atoms already prove the\nexistence of the field theoretic, spatial entanglement in two dimensions. More\ninterestingly, the appearance of entanglement in these experiments seems to be\nintimately related to the phase transition of the Kosterlitz Thouless type.",
"arxiv_id": "quant-ph/0703129",
"authors": [
"Vlatko Vedral"
],
"categories": [
"quant-ph"
],
"title": "When Do Superfluidity and Long Range Order Imply Entanglement?",
"url": "https://arxiv.org/abs/quant-ph/0703129"
},
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"execution_id": "fc6f2609-08c6-43aa-a3c5-80aa1ebfa6bb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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