dorsal/arxiv
View SchemaResonance fluorescence of a trapped three-level atom
| Authors | Marc Bienert, Wolfgang Merkel, Giovanna Morigi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308169 |
| URL | https://arxiv.org/abs/quant-ph/0308169 |
| DOI | 10.1103/PhysRevA.69.013405 |
| Journal | Phys. Rev. A 69, 013405 (2004). |
Abstract
We investigate theoretically the spectrum of resonance fluorescence of a harmonically trapped atom, whose internal transitions are $\Lambda$--shaped and driven at two-photon resonance by a pair of lasers, which cool the center--of--mass motion. For this configuration, photons are scattered only due to the mechanical effects of the quantum interaction between light and atom. We study the spectrum of emission in the final stage of laser--cooling, when the atomic center-of-mass dynamics is quantum mechanical and the size of the wave packet is much smaller than the laser wavelength (Lamb--Dicke limit). We use the spectral decomposition of the Liouville operator of the master equation for the atomic density matrix and apply second order perturbation theory. We find that the spectrum of resonance fluorescence is composed by two narrow sidebands -- the Stokes and anti-Stokes components of the scattered light -- while all other signals are in general orders of magnitude smaller. For very low temperatures, however, the Mollow--type inelastic component of the spectrum becomes visible. This exhibits novel features which allow further insight into the quantum dynamics of the system. We provide a physical model that interprets our results and discuss how one can recover temperature and cooling rate of the atom from the spectrum. The behaviour of the considered system is compared with the resonance fluorescence of a trapped atom whose internal transition consists of two-levels.
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"abstract": "We investigate theoretically the spectrum of resonance fluorescence of a\nharmonically trapped atom, whose internal transitions are $\\Lambda$--shaped and\ndriven at two-photon resonance by a pair of lasers, which cool the\ncenter--of--mass motion. For this configuration, photons are scattered only due\nto the mechanical effects of the quantum interaction between light and atom. We\nstudy the spectrum of emission in the final stage of laser--cooling, when the\natomic center-of-mass dynamics is quantum mechanical and the size of the wave\npacket is much smaller than the laser wavelength (Lamb--Dicke limit). We use\nthe spectral decomposition of the Liouville operator of the master equation for\nthe atomic density matrix and apply second order perturbation theory. We find\nthat the spectrum of resonance fluorescence is composed by two narrow sidebands\n-- the Stokes and anti-Stokes components of the scattered light -- while all\nother signals are in general orders of magnitude smaller. For very low\ntemperatures, however, the Mollow--type inelastic component of the spectrum\nbecomes visible. This exhibits novel features which allow further insight into\nthe quantum dynamics of the system. We provide a physical model that interprets\nour results and discuss how one can recover temperature and cooling rate of the\natom from the spectrum. The behaviour of the considered system is compared with\nthe resonance fluorescence of a trapped atom whose internal transition consists\nof two-levels.",
"arxiv_id": "quant-ph/0308169",
"authors": [
"Marc Bienert",
"Wolfgang Merkel",
"Giovanna Morigi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.013405",
"journal_ref": "Phys. Rev. A 69, 013405 (2004).",
"title": "Resonance fluorescence of a trapped three-level atom",
"url": "https://arxiv.org/abs/quant-ph/0308169"
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