dorsal/arxiv
View SchemaBarut-Girardello coherent states for sp(N,C) and multimode Schr\"odinger cat states
| Authors | D. A. Trifonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9706028 |
| URL | https://arxiv.org/abs/quant-ph/9706028 |
Abstract
Overcomplete families of states of the type of Barut-Girardello coherent states (BG CS) are constructed for noncompact algebras $u(p,q)$ and $sp(N,C)$ in quadratic bosonic representation. The $sp(N,C)$ BG CS are obtained in the form of multimode ordinary Schr\"odinger cat states. A set of such macroscopic superpositions is pointed out which is overcomplete in the whole $N$ mode Hilbert space (while the associated $sp(N,C)$ representation is reducible). The multimode squared amplitude Schr\"odinger cat states are introduced as macroscopic superpositions of the obtained $sp(N,C)$ BG CS.}
{
"annotation_id": "4824190d-0e83-4342-bc23-756b2b0146f7",
"date_created": "2026-03-02T18:02:40.512000Z",
"date_modified": "2026-03-02T18:02:40.512000Z",
"file_hash": "85de526c567ad319e023f78cb7037c6ebab4d6629b1fbaf0654939e897fba7ac",
"private": false,
"record": {
"abstract": "Overcomplete families of states of the type of Barut-Girardello coherent\nstates (BG CS) are constructed for noncompact algebras $u(p,q)$ and $sp(N,C)$\nin quadratic bosonic representation. The $sp(N,C)$ BG CS are obtained in the\nform of multimode ordinary Schr\\\"odinger cat states. A set of such macroscopic\nsuperpositions is pointed out which is overcomplete in the whole $N$ mode\nHilbert space (while the associated $sp(N,C)$ representation is reducible). The\nmultimode squared amplitude Schr\\\"odinger cat states are introduced as\nmacroscopic superpositions of the obtained $sp(N,C)$ BG CS.}",
"arxiv_id": "quant-ph/9706028",
"authors": [
"D. A. Trifonov"
],
"categories": [
"quant-ph"
],
"title": "Barut-Girardello coherent states for sp(N,C) and multimode Schr\\\"odinger cat states",
"url": "https://arxiv.org/abs/quant-ph/9706028"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c04f9699-ada6-4791-a8e8-25125430c9a1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}