dorsal/arxiv
View SchemaSuperpositions of SU(3) coherent states via a nonlinear evolution
| Authors | Kae Nemoto, Barry C. Sanders |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210067 |
| URL | https://arxiv.org/abs/quant-ph/0210067 |
| DOI | 10.1088/0305-4470/34/10/309 |
| Journal | J. Phys. A: Math. Gen 34, 2051 (2001) |
Abstract
We show that a nonlinear Hamiltonian evolution can transform an SU(3) coherent state into a superposition of distinct SU(3) coherent states, with a superposition of two SU(2) coherent states presented as a special case. A phase space representation is depicted by projecting the multi-dimensional $Q$-symbol for the state to a spherical subdomain of the coset space. We discuss realizations of this nonlinear evolution in the contexts of nonlinear optics and Bose--Einstein condensates.
{
"annotation_id": "4f268465-eb70-4bc6-8551-44a1ad696f94",
"date_created": "2026-03-02T18:01:53.170000Z",
"date_modified": "2026-03-02T18:01:53.170000Z",
"file_hash": "810d5d1fa5ca8b5f4a3590c843f5cec03bb70619340febf3595f5b45798ba4dd",
"private": false,
"record": {
"abstract": "We show that a nonlinear Hamiltonian evolution can transform an SU(3)\ncoherent state into a superposition of distinct SU(3) coherent states, with a\nsuperposition of two SU(2) coherent states presented as a special case. A phase\nspace representation is depicted by projecting the multi-dimensional $Q$-symbol\nfor the state to a spherical subdomain of the coset space. We discuss\nrealizations of this nonlinear evolution in the contexts of nonlinear optics\nand Bose--Einstein condensates.",
"arxiv_id": "quant-ph/0210067",
"authors": [
"Kae Nemoto",
"Barry C. Sanders"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/10/309",
"journal_ref": "J. Phys. A: Math. Gen 34, 2051 (2001)",
"title": "Superpositions of SU(3) coherent states via a nonlinear evolution",
"url": "https://arxiv.org/abs/quant-ph/0210067"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f9f9eec4-d6c6-4a27-88b7-9ee87d0998cb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}