dorsal/arxiv
View SchemaGround-State Entanglement in Interacting Bosonic Graphs
| Authors | Paolo Giorda, Paolo Zanardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311058 |
| URL | https://arxiv.org/abs/quant-ph/0311058 |
| DOI | 10.1209/epl/i2004-10129-2 |
Abstract
We consider a collection of bosonic modes corresponding to the vertices of a graph $\Gamma.$ Quantum tunneling can occur only along the edges of $\Gamma$ and a local self-interaction term is present. Quantum entanglement of one vertex with respect the rest of the graph is analyzed in the ground-state of the system as a function of the tunneling amplitude $\tau.$ The topology of $\Gamma$ plays a major role in determining the tunneling amplitude $\tau^*$ which leads to the maximum ground-state entanglement. Whereas in most of the cases one finds the intuitively expected result $\tau^*=\infty$ we show that it there exists a family of graphs for which the optimal value of$\tau$ is pushed down to a finite value. We also show that, for complete graphs, our bi-partite entanglement provides useful insights in the analysis of the cross-over between insulating and superfluid ground states
{
"annotation_id": "d8e737a4-a601-4846-b20c-921417442fd1",
"date_created": "2026-03-02T18:02:03.647000Z",
"date_modified": "2026-03-02T18:02:03.647000Z",
"file_hash": "5287896914a34bec08c4417aae9aaf31583d5c8cc031d3128bc057ab8bdb8fdc",
"private": false,
"record": {
"abstract": "We consider a collection of bosonic modes corresponding to the vertices of a\ngraph $\\Gamma.$ Quantum tunneling can occur only along the edges of $\\Gamma$\nand a local self-interaction term is present. Quantum entanglement of one\nvertex with respect the rest of the graph is analyzed in the ground-state of\nthe system as a function of the tunneling amplitude $\\tau.$ The topology of\n$\\Gamma$ plays a major role in determining the tunneling amplitude $\\tau^*$\nwhich leads to the maximum ground-state entanglement. Whereas in most of the\ncases one finds the intuitively expected result $\\tau^*=\\infty$ we show that it\nthere exists a family of graphs for which the optimal value of$\\tau$ is pushed\ndown to a finite value. We also show that, for complete graphs, our bi-partite\nentanglement provides useful insights in the analysis of the cross-over between\ninsulating and superfluid ground states",
"arxiv_id": "quant-ph/0311058",
"authors": [
"Paolo Giorda",
"Paolo Zanardi"
],
"categories": [
"quant-ph"
],
"doi": "10.1209/epl/i2004-10129-2",
"title": "Ground-State Entanglement in Interacting Bosonic Graphs",
"url": "https://arxiv.org/abs/quant-ph/0311058"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6864b43b-32fc-4825-9353-a343bb53183c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}