dorsal/arxiv
View SchemaDissipative quantum chaos: transition from wave packet collapse to explosion
| Authors | Gabriel G. Carlo, Giuliano Benenti, Dima L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503081 |
| URL | https://arxiv.org/abs/quant-ph/0503081 |
| DOI | 10.1103/PhysRevLett.95.164101 |
| Journal | Phys. Rev. Lett. 95, 164101 (2005) |
Abstract
Using the quantum trajectories approach we study the quantum dynamics of a dissipative chaotic system described by the Zaslavsky map. For strong dissipation the quantum wave function in the phase space collapses onto a compact packet which follows classical chaotic dynamics and whose area is proportional to the Planck constant. At weak dissipation the exponential instability of quantum dynamics on the Ehrenfest time scale dominates and leads to wave packet explosion. The transition from collapse to explosion takes place when the dissipation time scale exceeds the Ehrenfest time. For integrable nonlinear dynamics the explosion practically disappears leaving place to collapse.
{
"annotation_id": "012899d7-a561-4ace-b7fe-a4f627814c2e",
"date_created": "2026-03-02T18:02:13.580000Z",
"date_modified": "2026-03-02T18:02:13.580000Z",
"file_hash": "c8893c23ab8344684cf0c6d7f5d7226b230d2e13892193267f7c9cfd79e2c0f7",
"private": false,
"record": {
"abstract": "Using the quantum trajectories approach we study the quantum dynamics of a\ndissipative chaotic system described by the Zaslavsky map. For strong\ndissipation the quantum wave function in the phase space collapses onto a\ncompact packet which follows classical chaotic dynamics and whose area is\nproportional to the Planck constant. At weak dissipation the exponential\ninstability of quantum dynamics on the Ehrenfest time scale dominates and leads\nto wave packet explosion. The transition from collapse to explosion takes place\nwhen the dissipation time scale exceeds the Ehrenfest time. For integrable\nnonlinear dynamics the explosion practically disappears leaving place to\ncollapse.",
"arxiv_id": "quant-ph/0503081",
"authors": [
"Gabriel G. Carlo",
"Giuliano Benenti",
"Dima L. Shepelyansky"
],
"categories": [
"quant-ph",
"cond-mat.other",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.95.164101",
"journal_ref": "Phys. Rev. Lett. 95, 164101 (2005)",
"title": "Dissipative quantum chaos: transition from wave packet collapse to explosion",
"url": "https://arxiv.org/abs/quant-ph/0503081"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a5cb18af-ab48-4322-a428-012b42954285",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}