dorsal/arxiv
View SchemaDynamics of Dissipative Two-Level Systems in the Stochastic Approximation
| Authors | L. Accardi, S. V. Kozyrev, I. V. Volovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9706021 |
| URL | https://arxiv.org/abs/quant-ph/9706021 |
| DOI | 10.1103/PhysRevA.56.2557 |
| Journal | Phys.Rev. A56 (1997) 2557-2562 |
Abstract
The dynamics of the spin-boson Hamiltonian is considered in the stochastic approximation. The Hamiltonian describes a two-level system coupled to an environment and is widely used in physics, chemistry and the theory of quantum measurement. We demonstrate that the method of the stochastic approximation which is a general method of consideration of dynamics of an arbitrary system interacting with environment is powerful enough to reproduce qualitatively striking results by Leggett at al. found earlier for this model. The result include an exact expression of the dynamics in terms of the spectral density and show an appearance of two most interesting regimes for the system, i.e. pure oscillating and pure damping ones. Correlators describing environment are also computed.
{
"annotation_id": "6c1a1e57-d62f-4af0-bb50-974e36aeb01b",
"date_created": "2026-03-02T18:02:40.511000Z",
"date_modified": "2026-03-02T18:02:40.511000Z",
"file_hash": "25662646d87e21532c04f2eb102924c304208f3c28455a8f4d2318eacd3a29b9",
"private": false,
"record": {
"abstract": "The dynamics of the spin-boson Hamiltonian is considered in the stochastic\napproximation. The Hamiltonian describes a two-level system coupled to an\nenvironment and is widely used in physics, chemistry and the theory of quantum\nmeasurement. We demonstrate that the method of the stochastic approximation\nwhich is a general method of consideration of dynamics of an arbitrary system\ninteracting with environment is powerful enough to reproduce qualitatively\nstriking results by Leggett at al. found earlier for this model. The result\ninclude an exact expression of the dynamics in terms of the spectral density\nand show an appearance of two most interesting regimes for the system, i.e.\npure oscillating and pure damping ones. Correlators describing environment are\nalso computed.",
"arxiv_id": "quant-ph/9706021",
"authors": [
"L. Accardi",
"S. V. Kozyrev",
"I. V. Volovich"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.2557",
"journal_ref": "Phys.Rev. A56 (1997) 2557-2562",
"title": "Dynamics of Dissipative Two-Level Systems in the Stochastic Approximation",
"url": "https://arxiv.org/abs/quant-ph/9706021"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5ed6e729-beba-4115-9c32-cb05b50865ed",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}