dorsal/arxiv
View SchemaSecond-quantization of open systems using quasinormal modes
| Authors | K. C. Ho, P. T. Leung, Alec Maassen van den Brink, K. Young |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803014 |
| URL | https://arxiv.org/abs/quant-ph/9803014 |
| DOI | 10.1103/PhysRevE.58.2965 |
| Journal | Phys.Rev. E58 (1998) 2965-2978 |
Abstract
The second-quantization of a scalar field in an open cavity is formulated, from first principles, in terms of the quasinormal modes (QNMs), which are the eigensolutions of the evolution equation that decay exponentially in time as energy leaks to the outside. This formulation provides a description involving the cavity degrees of freedom only, with the outside acting as a (thermal or driven) source. Thermal correlation functions and cavity Feynman propagators are thus expressed in terms of the QNMs, labeled by a discrete index rather than a continuous momentum. Single-resonance domination of the density of states and the spontaneous decay rate is then given a proper foundation. This is a first essential step towards the application of QNMs to cavity QED phenomena, to be reported elsewhere.
{
"annotation_id": "91ac4c3c-ebbc-4ecf-a553-6620f49b583c",
"date_created": "2026-03-02T18:02:41.307000Z",
"date_modified": "2026-03-02T18:02:41.307000Z",
"file_hash": "7ccff4358e90fbfedaa7fe170d6f3b86aafe1329df8cc25ab14f4061033b0ca0",
"private": false,
"record": {
"abstract": "The second-quantization of a scalar field in an open cavity is formulated,\nfrom first principles, in terms of the quasinormal modes (QNMs), which are the\neigensolutions of the evolution equation that decay exponentially in time as\nenergy leaks to the outside. This formulation provides a description involving\nthe cavity degrees of freedom only, with the outside acting as a (thermal or\ndriven) source. Thermal correlation functions and cavity Feynman propagators\nare thus expressed in terms of the QNMs, labeled by a discrete index rather\nthan a continuous momentum. Single-resonance domination of the density of\nstates and the spontaneous decay rate is then given a proper foundation. This\nis a first essential step towards the application of QNMs to cavity QED\nphenomena, to be reported elsewhere.",
"arxiv_id": "quant-ph/9803014",
"authors": [
"K. C. Ho",
"P. T. Leung",
"Alec Maassen van den Brink",
"K. Young"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.58.2965",
"journal_ref": "Phys.Rev. E58 (1998) 2965-2978",
"title": "Second-quantization of open systems using quasinormal modes",
"url": "https://arxiv.org/abs/quant-ph/9803014"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a2168d6f-100e-4717-b700-b4569e5359d5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}