dorsal/arxiv
View SchemaIrreversible Quantum Baker Map
| Authors | Artur Lozinski, Prot Pakonski, Karol Zyczkowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202153 |
| URL | https://arxiv.org/abs/quant-ph/0202153 |
| DOI | 10.1103/PhysRevE.66.065201 |
| Journal | Phys. Rev. E 66, 065201(2002) |
Abstract
We propose a generalization of the model of classical baker map on the torus, in which the images of two parts of the phase space do overlap. This transformation is irreversible and cannot be quantized by means of a unitary Floquet operator. A corresponding quantum system is constructed as a completely positive map acting in the space of density matrices. We investigate spectral properties of this super-operator and their link with the increase of the entropy of initially pure states.
{
"annotation_id": "9af66ade-7cab-4228-9cfe-873dff9950f6",
"date_created": "2026-03-02T18:01:48.473000Z",
"date_modified": "2026-03-02T18:01:48.473000Z",
"file_hash": "f10c811a3cdfaf43ed629640c16a5cd1a1e6358bac8b5d51359d40aae58cf0d1",
"private": false,
"record": {
"abstract": "We propose a generalization of the model of classical baker map on the torus,\nin which the images of two parts of the phase space do overlap. This\ntransformation is irreversible and cannot be quantized by means of a unitary\nFloquet operator. A corresponding quantum system is constructed as a completely\npositive map acting in the space of density matrices. We investigate spectral\nproperties of this super-operator and their link with the increase of the\nentropy of initially pure states.",
"arxiv_id": "quant-ph/0202153",
"authors": [
"Artur Lozinski",
"Prot Pakonski",
"Karol Zyczkowski"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.66.065201",
"journal_ref": "Phys. Rev. E 66, 065201(2002)",
"title": "Irreversible Quantum Baker Map",
"url": "https://arxiv.org/abs/quant-ph/0202153"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "fcb73d57-4d82-4ca7-95ef-142b6125ac9b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}