dorsal/arxiv
View SchemaGeometric Phases, Coherent States and Resonant Hamiltonian
| Authors | Masao Matsumoto, Hiroshi Kuratsuji |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9512029 |
| URL | https://arxiv.org/abs/quant-ph/9512029 |
Abstract
We study characteristic aspects of the geometric phase which is associated with the generalized coherent states. This is determined by special orbits in the parameter space defining the coherent state, which is obtained as a solution of the variational equation governed by a simple model Hamiltonian called the "resonant Hamiltonian". Three typical coherent states are considered: SU(2), SU(1,1) and Heisenberg-Weyl. A possible experimental detection of the phases is proposed in such a way that the geometric phases can be discriminated from the dynamical phase.
{
"annotation_id": "b4f48bba-8f7b-43bb-b4e1-54685b1402cd",
"date_created": "2026-03-02T18:02:37.738000Z",
"date_modified": "2026-03-02T18:02:37.738000Z",
"file_hash": "fa45281b8330214bb840f12be53d4e7fd88b31d4cc503979fd40f70fc547bcb2",
"private": false,
"record": {
"abstract": "We study characteristic aspects of the geometric phase which is associated\nwith the generalized coherent states. This is determined by special orbits in\nthe parameter space defining the coherent state, which is obtained as a\nsolution of the variational equation governed by a simple model Hamiltonian\ncalled the \"resonant Hamiltonian\". Three typical coherent states are\nconsidered: SU(2), SU(1,1) and Heisenberg-Weyl. A possible experimental\ndetection of the phases is proposed in such a way that the geometric phases can\nbe discriminated from the dynamical phase.",
"arxiv_id": "quant-ph/9512029",
"authors": [
"Masao Matsumoto",
"Hiroshi Kuratsuji"
],
"categories": [
"quant-ph"
],
"title": "Geometric Phases, Coherent States and Resonant Hamiltonian",
"url": "https://arxiv.org/abs/quant-ph/9512029"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "907e617d-4857-43d8-b3df-6004f19d5fbc",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}