dorsal/arxiv
View SchemaQuantum-Classical Dynamics of Wave Fields
| Authors | Alessandro Sergi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511229 |
| URL | https://arxiv.org/abs/quant-ph/0511229 |
Abstract
An approach to the quantum-classical mechanics of phase space dependent operators, which has been proposed recently, is remodeled as a formalism for wave fields. Such wave fields obey a system of coupled non-linear equations that can be written by means of a suitable non-Hamiltonian bracket. As an example, the theory is applied to the relaxation dynamics of the spin-boson model. In the adiabatic limit, a good agreement with calculations performed by the operator approach is obtained. Moreover, the theory proposed in this paper can take nonadiabatic effects into account without resorting to surface-hopping approximations. Hence, the results obtained follow qualitatively those of previous surface-hopping calculations and increase by a factor of (at least) two the time length over which nonadiabatic dynamics can be propagated with small statistical errors. Moreover, it is worth to note that the dynamics of quantum-classical wave fields here proposed is a straightforward non-Hamiltonian generalization of the formalism for non-linear quantum mechanics that Weinberg introduced recently.
{
"annotation_id": "b5f9b85b-1c34-4ef7-92a1-1071be50e109",
"date_created": "2026-03-02T18:02:22.882000Z",
"date_modified": "2026-03-02T18:02:22.882000Z",
"file_hash": "dfdea00b024819c96758f44dfd319ca5c5e138e0437ece86e675993349a92563",
"private": false,
"record": {
"abstract": "An approach to the quantum-classical mechanics of phase space dependent\noperators, which has been proposed recently, is remodeled as a formalism for\nwave fields. Such wave fields obey a system of coupled non-linear equations\nthat can be written by means of a suitable non-Hamiltonian bracket. As an\nexample, the theory is applied to the relaxation dynamics of the spin-boson\nmodel. In the adiabatic limit, a good agreement with calculations performed by\nthe operator approach is obtained. Moreover, the theory proposed in this paper\ncan take nonadiabatic effects into account without resorting to surface-hopping\napproximations. Hence, the results obtained follow qualitatively those of\nprevious surface-hopping calculations and increase by a factor of (at least)\ntwo the time length over which nonadiabatic dynamics can be propagated with\nsmall statistical errors. Moreover, it is worth to note that the dynamics of\nquantum-classical wave fields here proposed is a straightforward\nnon-Hamiltonian generalization of the formalism for non-linear quantum\nmechanics that Weinberg introduced recently.",
"arxiv_id": "quant-ph/0511229",
"authors": [
"Alessandro Sergi"
],
"categories": [
"quant-ph"
],
"title": "Quantum-Classical Dynamics of Wave Fields",
"url": "https://arxiv.org/abs/quant-ph/0511229"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4838baf0-1baf-4bb2-a729-40be9644c4eb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}