dorsal/arxiv
View SchemaExotic Stochastic Processes from Complex Quantum Environments
| Authors | Dimitri Kusnezov, Aurel Bulgac, Giu Do Dang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9911069 |
| URL | https://arxiv.org/abs/nucl-th/9911069 |
| Journal | Physics E9, 436-442 (2001) |
Abstract
Stochastic processes are shown to emerge from the time evolution of complex quantum systems. Using parametric, banded random matrix ensembles to describe a quantum chaotic environment, we show that the dynamical evolution of a particle coupled to such environments displays a variety of stochastic behaviors, ranging from turbulent diffusion to L\'evy processes and Brownian motion. Dissipation and diffusion emerge naturally in the stochastic interpretation of the dynamics. This approach provides a derivation of a fractional kinetic theory in the classical limit and leads to classical L\'evy dynamics.
{
"annotation_id": "63a51c5e-5720-482d-bf1d-25b6445ff32e",
"date_created": "2026-03-02T18:00:29.355000Z",
"date_modified": "2026-03-02T18:00:29.355000Z",
"file_hash": "a2cc18c7e6900db992ccab2beb1d2b0b5d5a581f369373cb0158f1147f940c75",
"private": false,
"record": {
"abstract": "Stochastic processes are shown to emerge from the time evolution of complex\nquantum systems. Using parametric, banded random matrix ensembles to describe a\nquantum chaotic environment, we show that the dynamical evolution of a particle\ncoupled to such environments displays a variety of stochastic behaviors,\nranging from turbulent diffusion to L\\\u0027evy processes and Brownian motion.\nDissipation and diffusion emerge naturally in the stochastic interpretation of\nthe dynamics. This approach provides a derivation of a fractional kinetic\ntheory in the classical limit and leads to classical L\\\u0027evy dynamics.",
"arxiv_id": "nucl-th/9911069",
"authors": [
"Dimitri Kusnezov",
"Aurel Bulgac",
"Giu Do Dang"
],
"categories": [
"nucl-th",
"cond-mat",
"quant-ph"
],
"journal_ref": "Physics E9, 436-442 (2001)",
"title": "Exotic Stochastic Processes from Complex Quantum Environments",
"url": "https://arxiv.org/abs/nucl-th/9911069"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "089a7c0a-57cb-4645-97a8-747fe4802f9d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}