dorsal/arxiv
View SchemaRapid and slow decoherence in conjunction with dissipation in a system of two-level atoms
| Authors | Peter Foldi, Attila Czirjak, Mihaly G. Benedict |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101072 |
| URL | https://arxiv.org/abs/quant-ph/0101072 |
| DOI | 10.1103/PhysRevA.63.033807 |
Abstract
We investigate the time evolution of a superposition of macroscopically distinct quantum states in a system of two-level atoms interacting with a thermal environment of photon modes. We show that the atomic coherent states are robust against decoherence, therefore we call their superpositions atomic Schr\"{o}dinger cat states. The initial fast regime of the time evolution is associated with the process of decoherence, and it is directed towards the statistical mixture of the constituent coherent states of the original state for most of the initial conditions. However, certain superpositions, called symmetric, exhibit exceptionally slow decoherence. By introducing a new measure, we generalize the usual decoherence scheme regarding the evolution of the state to account also for the symmetric case. To stress the fact that the environment preserves symmetric superpositions much longer than the other ones,we present Wigner function images of the decoherence of a suitably oriented four component cat state.
{
"annotation_id": "dd8966d5-3d40-4a7d-947a-54e444d73573",
"date_created": "2026-03-02T18:01:42.548000Z",
"date_modified": "2026-03-02T18:01:42.548000Z",
"file_hash": "999aea04642318802698c6c95914b82726cde412c80fc48763b55dc4740a742f",
"private": false,
"record": {
"abstract": "We investigate the time evolution of a superposition of macroscopically\ndistinct quantum states in a system of two-level atoms interacting with a\nthermal environment of photon modes. We show that the atomic coherent states\nare robust against decoherence, therefore we call their superpositions atomic\nSchr\\\"{o}dinger cat states. The initial fast regime of the time evolution is\nassociated with the process of decoherence, and it is directed towards the\nstatistical mixture of the constituent coherent states of the original state\nfor most of the initial conditions. However, certain superpositions, called\nsymmetric, exhibit exceptionally slow decoherence. By introducing a new\nmeasure, we generalize the usual decoherence scheme regarding the evolution of\nthe state to account also for the symmetric case. To stress the fact that the\nenvironment preserves symmetric superpositions much longer than the other\nones,we present Wigner function images of the decoherence of a suitably\noriented four component cat state.",
"arxiv_id": "quant-ph/0101072",
"authors": [
"Peter Foldi",
"Attila Czirjak",
"Mihaly G. Benedict"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.033807",
"title": "Rapid and slow decoherence in conjunction with dissipation in a system of two-level atoms",
"url": "https://arxiv.org/abs/quant-ph/0101072"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "47751979-42bc-433f-a1b8-715200b8b5d0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}