dorsal/arxiv
View SchemaStrongly Coupled Matter-Field and Non-Analytic Decay Rate of Dipole Molecules in a Waveguide
| Authors | T. Petrosky, Chu-Ong Ting, Sterling Garmon |
|---|---|
| Categories | |
| ArXiv ID | physics/0409122 |
| URL | https://arxiv.org/abs/physics/0409122 |
| DOI | 10.1103/PhysRevLett.94.043601 |
Abstract
The decay rate $\gam$ of an excited dipole molecule inside a waveguide is evaluated for the strongly coupled matter-field case near a cutoff frequency $\ome_c$ without using perturbation analysis. Due to the singularity in the density of photon states at the cutoff frequency, we find that $\gam$ depends non-analytically on the coupling constant $\ggg$ as $\ggg^{4/3}$. In contrast to the ordinary evaluation of $\gam$ which relies on the Fermi golden rule (itself based on perturbation analysis), $\gam$ has an upper bound and does not diverge at $\ome_c$ even if we assume perfect conductance in the waveguide walls. As a result, again in contrast to the statement found in the literature, the speed of emitted light from the molecule does not vanish at $\ome_c$ and is proportional to $c\ggg^{2/3}$ which is on the order of $10^3 \sim 10^4$ m/s for typical dipole molecules.
{
"annotation_id": "51145540-d23b-44cb-833e-1bf7c327664c",
"date_created": "2026-03-02T18:00:53.783000Z",
"date_modified": "2026-03-02T18:00:53.783000Z",
"file_hash": "fd0626d3bfd48098235900e522b46ed7b3db7d1045538a1e28e8efa5e82b6917",
"private": false,
"record": {
"abstract": "The decay rate $\\gam$ of an excited dipole molecule inside a waveguide is\nevaluated for the strongly coupled matter-field case near a cutoff frequency\n$\\ome_c$ without using perturbation analysis. Due to the singularity in the\ndensity of photon states at the cutoff frequency, we find that $\\gam$ depends\nnon-analytically on the coupling constant $\\ggg$ as $\\ggg^{4/3}$. In contrast\nto the ordinary evaluation of $\\gam$ which relies on the Fermi golden rule\n(itself based on perturbation analysis), $\\gam$ has an upper bound and does not\ndiverge at $\\ome_c$ even if we assume perfect conductance in the waveguide\nwalls. As a result, again in contrast to the statement found in the literature,\nthe speed of emitted light from the molecule does not vanish at $\\ome_c$ and is\nproportional to $c\\ggg^{2/3}$ which is on the order of $10^3 \\sim 10^4$ m/s for\ntypical dipole molecules.",
"arxiv_id": "physics/0409122",
"authors": [
"T. Petrosky",
"Chu-Ong Ting",
"Sterling Garmon"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevLett.94.043601",
"title": "Strongly Coupled Matter-Field and Non-Analytic Decay Rate of Dipole Molecules in a Waveguide",
"url": "https://arxiv.org/abs/physics/0409122"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "215d79a8-ea1f-4a53-a240-2e22126a8afe",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}