dorsal/arxiv
View SchemaElliptical Squeezed States and Rydberg Wave Packets
| Authors | Robert Bluhm, Alan Kostelecky, Bogdan Tudose |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9509010 |
| URL | https://arxiv.org/abs/quant-ph/9509010 |
| DOI | 10.1103/PhysRevA.52.2234 |
| Journal | Phys.Rev.A52:2234,1995 |
Abstract
We present a theoretical construction for closest-to-classical wave packets localized in both angular and radial coordinates and moving on a keplerian orbit. The method produces a family of elliptical squeezed states for the planar Coulomb problem that minimize appropriate uncertainty relations in radial and angular coordinates. The time evolution of these states is studied for orbits with different semimajor axes and eccentricities. The elliptical squeezed states may be useful for a description of the motion of Rydberg wave packets excited by short-pulsed lasers in the presence of external fields, which experiments are attempting to produce. We outline an extension of the method to include certain effects of quantum defects appearing in the alkali-metal atoms used in experiments.
{
"annotation_id": "47a14c9f-3262-4b3f-b13e-4fd068070a43",
"date_created": "2026-03-02T18:02:38.193000Z",
"date_modified": "2026-03-02T18:02:38.193000Z",
"file_hash": "8bb07c7964e0f1f2e0474ba4deae967cd7fc65a9fbc9b70f543e43d6d72c2d54",
"private": false,
"record": {
"abstract": "We present a theoretical construction for closest-to-classical wave packets\nlocalized in both angular and radial coordinates and moving on a keplerian\norbit. The method produces a family of elliptical squeezed states for the\nplanar Coulomb problem that minimize appropriate uncertainty relations in\nradial and angular coordinates. The time evolution of these states is studied\nfor orbits with different semimajor axes and eccentricities. The elliptical\nsqueezed states may be useful for a description of the motion of Rydberg wave\npackets excited by short-pulsed lasers in the presence of external fields,\nwhich experiments are attempting to produce. We outline an extension of the\nmethod to include certain effects of quantum defects appearing in the\nalkali-metal atoms used in experiments.",
"arxiv_id": "quant-ph/9509010",
"authors": [
"Robert Bluhm",
"Alan Kostelecky",
"Bogdan Tudose"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.52.2234",
"journal_ref": "Phys.Rev.A52:2234,1995",
"title": "Elliptical Squeezed States and Rydberg Wave Packets",
"url": "https://arxiv.org/abs/quant-ph/9509010"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5de4ed1e-8146-4a15-a379-2b6820becd01",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}