dorsal/arxiv
View SchemaDecoherence and thermalization dynamics of a quantum oscillator
| Authors | V. V. Dodonov, S. S. Mizrahi, A. L. de Souza Silva |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0004075 |
| URL | https://arxiv.org/abs/quant-ph/0004075 |
| DOI | 10.1088/1464-4266/2/3/309 |
| Journal | J. Opt. B, v.2, no.3, p.271-281 (2000) |
Abstract
We introduce the quantitative measures characterizing the rates of decoherence and thermalization of quantum systems. We study the time evolution of these measures in the case of a quantum harmonic oscillator whose relaxation is described in the framework of the standard master equation, for various initial states (coherent, `cat', squeezed and number). We establish the conditions under which the true decoherence measure can be approximated by the linear entropy $1-{Tr}\hat\rho^2$. We show that at low temperatures and for highly excited initial states the decoherence process consists of three distinct stages with quite different time scales. In particular, the `cat' states preserve 50% of the initial coherence for a long time interval which increases logarithmically with increase of the initial energy.
{
"annotation_id": "ef4de919-d92a-4d4e-85fc-c132de257fcf",
"date_created": "2026-03-02T18:01:38.496000Z",
"date_modified": "2026-03-02T18:01:38.496000Z",
"file_hash": "5e55c7dd91cff88b278834cbab95ef9bdd66c5602166e828c6bc12fc720b9f23",
"private": false,
"record": {
"abstract": "We introduce the quantitative measures characterizing the rates of\ndecoherence and thermalization of quantum systems. We study the time evolution\nof these measures in the case of a quantum harmonic oscillator whose relaxation\nis described in the framework of the standard master equation, for various\ninitial states (coherent, `cat\u0027, squeezed and number). We establish the\nconditions under which the true decoherence measure can be approximated by the\nlinear entropy $1-{Tr}\\hat\\rho^2$. We show that at low temperatures and for\nhighly excited initial states the decoherence process consists of three\ndistinct stages with quite different time scales. In particular, the `cat\u0027\nstates preserve 50% of the initial coherence for a long time interval which\nincreases logarithmically with increase of the initial energy.",
"arxiv_id": "quant-ph/0004075",
"authors": [
"V. V. Dodonov",
"S. S. Mizrahi",
"A. L. de Souza Silva"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/2/3/309",
"journal_ref": "J. Opt. B, v.2, no.3, p.271-281 (2000)",
"title": "Decoherence and thermalization dynamics of a quantum oscillator",
"url": "https://arxiv.org/abs/quant-ph/0004075"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "40c319ce-e6d9-492d-b83d-fb9b80eb8608",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}