dorsal/arxiv
View SchemaWigner function for discrete phase space: exorcising ghost images
| Authors | Arturo Argüelles, Thomas Dittrich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504210 |
| URL | https://arxiv.org/abs/quant-ph/0504210 |
| DOI | 10.1016/j.physa.2005.05.015 |
Abstract
We construct, using simple geometrical arguments, a Wigner function defined on a discrete phase space of arbitrary integer Hilbert-space dimension that is free of redundancies. ``Ghost images'' plaguing other Wigner functions for discrete phase spaces are thus revealed as artifacts. It allows to devise a corresponding phase-space propagator in an unambiguous manner. We apply our definitions to eigenstates and propagator of the quantum baker map. Scars on unstable periodic points of the corresponding classical map become visible with unprecedented resolution.
{
"annotation_id": "fd535caa-78a0-422d-9174-fe29d4faa919",
"date_created": "2026-03-02T18:02:16.794000Z",
"date_modified": "2026-03-02T18:02:16.794000Z",
"file_hash": "e9b4e927ab016aab6a2d6caad349bb2355f3e140f817f45da68e859b24a32393",
"private": false,
"record": {
"abstract": "We construct, using simple geometrical arguments, a Wigner function defined\non a discrete phase space of arbitrary integer Hilbert-space dimension that is\nfree of redundancies. ``Ghost images\u0027\u0027 plaguing other Wigner functions for\ndiscrete phase spaces are thus revealed as artifacts. It allows to devise a\ncorresponding phase-space propagator in an unambiguous manner. We apply our\ndefinitions to eigenstates and propagator of the quantum baker map. Scars on\nunstable periodic points of the corresponding classical map become visible with\nunprecedented resolution.",
"arxiv_id": "quant-ph/0504210",
"authors": [
"Arturo Arg\u00fcelles",
"Thomas Dittrich"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physa.2005.05.015",
"title": "Wigner function for discrete phase space: exorcising ghost images",
"url": "https://arxiv.org/abs/quant-ph/0504210"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "cf4df8a7-b539-4955-b1f3-e191d8d81d1f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}