Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Emission spectrum of a harmonically trapped two-level atom

Hong Mei Guo, Zhao Li-Yan

Published May 26, 2006• 7 citations
Publisher

Abstract

We investigated theoretically the emission spectrum for a harmonically trapped two-level atom; our study is not limited in Lamb-Dicke approximation. We have shown that the effects of the atomic motion on the emission spectrum are dependent on the initial state of the system, the Lamb-Dicke parameter $\ensuremath{\eta}$, and the detuning parameter.

DOI
10.1103/physreva.73.053822

Related papers

Emission spectrum of a harmonically trapped Λ-type three-level atom

Hong Mei Guo, Pei Song Tang

We theoretically investigate the emission spectrum for a Λ-type three-level atom trapped in the node of a standing wave. We show that the atomic center-of-mass motion not only directly affects the peak number, peak position, and peak height in the atomic emission spectrum, but also influences the effects of the cavity field and the atomic initial state on atomic emission spectrum.

Chinese Physics B•May 1, 2013•3 citations

Emission spectrum of a harmonically trapped Λ-type three-level atom

郭红, 汤佩

We theoretically investigate the emission spectrum for a Λ-type three-level atom trapped in the node of a standing wave. We show that the atomic center-of-mass motion not only directly affects the peak number, peak position, and peak height in the atomic emission spectrum, but also influences the effects of the cavity field and the atomic initial state on atomic emission spectrum.

中国物理B：英文版•Jan 1, 2013•0 citations

Resonance fluorescence of a trapped three-level atom

Marc Bienert, Wolfgang Merkel, Giovanna Morigi

We investigate theoretically the spectrum of resonance fluorescence of a harmonically trapped atom, whose internal transitions are $\ensuremath{\Lambda}$ 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 of 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 behavior of the considered system is compared with the resonance fluorescence of a trapped atom whose internal transition consists of two levels.

arXiv:quant-ph/0308169•Physical Review A•Jan 21, 2004•19 citations

Emission and Absorption Properties of Atoms in a Trapping Potential

Peter E. MacKay, Gian‐Luca Oppo

We investigate the resonance fluorescence emission and absorption spectra for a one-dimensional harmonically trapped two-level ion. The master equation is used to generate the atomic polarizations from which the spectra are derived. Because of their size, the final density matrix equations are investigated numerically. The calculations are carried out in the Lamb-Dicke limit of tight localization of the ion. Sharp peaks are found to appear in the spectra at frequencies detuned from line centre by steps of the trap frequency. The frequency of the peaks and their superposition with Rabi sidebands above saturation are analysed for a variety of parameter ranges. Moreover, new features of the absorption spectra of a weak probe such as sharp gain regions around the trap sidebands are also discussed.

Journal of Modern Optics•Sep 1, 1994•1 citation

Emission spectrum of two two-level atoms driven by a quantum field

Hong Mei Guo

We give an analytical expression of emission spectrum for two different two-level atoms interacted with one-mode field. The effect of initial state of system on the emission spectrum for two-level atoms is explored, and the conditions leading to atom coherent population trapping are investigated.

Journal of Central China Normal University•Jan 1, 2004•0 citations

The effect of mass center motion on a two-level atom emission spectrum

Hong Wei Guo, Zhao Li-Yan, (1)华中师范大学物理科学与技术学院，武汉 430079; (2)华中师范大学物理科学与技术学院，武汉 430079；中国科学院武汉物理与数学研究所，武汉 430071

The emission spectrum of a two-level atom in a harmonic trap is studied. It is shown that atomic motion do not affect the atomic spectrum phase sensitivity when there is no correlation between atomic mass center motion and the field. With the increase of the average energy of atomic center motion, the peaks move towards each other, their heights change with the state of the field and atomic motion. When there is correlation between atomic mass center motion and the field, the atomic spectrum becomes insensitive to the relative phase between the field and the atomic dipole. Under certain conditions, there are fewer peaks, and they become higher and narrower.

Acta Physica Sinica•Jan 1, 2005•4 citations
We investigated theoretically the emission spectrum for a harmonically trapped two-level atom; our study is not limited in Lamb-Dicke approximation. We have shown that the effects of the atomic motion on the emission spectrum are dependent on the initial state of the system, the Lamb-Dicke parameter \ensuremathη\ensuremath{\eta}\ensuremathη, and the detuning parameter.
We investigate theoretically the spectrum of resonance fluorescence of a harmonically trapped atom, whose internal transitions are $\ensuremath{\Lambda}$ 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 of 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 behavior of the considered system is compared with the resonance fluorescence of a trapped atom whose internal transition consists of two levels.
We investigate the resonance fluorescence emission and absorption spectra for a one-dimensional harmonically trapped two-level ion. The master equation is used to generate the atomic polarizations from which the spectra are derived. Because of their size, the final density matrix equations are investigated numerically. The calculations are carried out in the Lamb-Dicke limit of tight localization of the ion. Sharp peaks are found to appear in the spectra at frequencies detuned from line centre by steps of the trap frequency. The frequency of the peaks and their superposition with Rabi sidebands above saturation are analysed for a variety of parameter ranges. Moreover, new features of the absorption spectra of a weak probe such as sharp gain regions around the trap sidebands are also discussed.
The emission spectrum of a two-level atom in a harmonic trap is studied. It is shown that atomic motion do not affect the atomic spectrum phase sensitivity when there is no correlation between atomic mass center motion and the field. With the increase of the average energy of atomic center motion, the peaks move towards each other, their heights change with the state of the field and atomic motion. When there is correlation between atomic mass center motion and the field, the atomic spectrum becomes insensitive to the relative phase between the field and the atomic dipole. Under certain conditions, there are fewer peaks, and they become higher and narrower.