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

arXiv:1105.1236 · Physical Review A

Collective cavity quantum electrodynamics with multiple atomic levels

K. J. Arnold, M. P. Baden, M. D. Barrett

Published Sep 20, 2011• 12 citations
arXivHTMLPDF

Abstract

We study the transmission spectra of ultracold rubidium atoms coupled to a high-finesse optical cavity. Under weak probing with $\ensuremath{\pi}$-polarized light, the linear response of the system is that of a collective spin with multiple levels coupled to a single mode of the cavity. By varying the atom number, we change the collective coupling of the system. We observe the change in transmission spectra when going from a regime where the collective coupling is much smaller than the separation of the atomic levels to a regime where both are of comparable size. The observations are in good agreement with a reduced model we developed for our system.

DOI
10.1103/physreva.84.033843

Related papers

Collective Cavity QED with Multiple Atomic Levels

K. J. Arnold, M. P. Baden, M. D. Barrett

We study the transmission spectra of ultracold Rubidium atoms coupled to a high-finesse optical cavity. Under weak probing with pi-polarized light, the system is described by a collective spin with multiple levels coupled to a single mode of the cavity. By varying the atom number, we change the collective coupling of the system. We observe the change in transmission spectra when going from a regime where the collective coupling is much smaller than the separation of the atomic levels to a regime where both are of comparable size. The observations are in good agreement with a reduced model we develop for our system.

•May 6, 2011•1 citation

Normal-mode splitting of four-level atom-cavity system under collective strong coupling

Zheng Tan, Liyong Wang, Min Liu +3 more

We investigate the transmission spectrum of an optical cavity coupled with four-level atoms. Multiple normal-mode splitting peaks of the strongly coupled atom-cavity system are obtained as single cavity mode couples three separated atomic transitions simultaneously. We employ a confocal optical cavity and an ensemble of cold Rb-85 atoms for cavity quantum electrodynamics. We observe four normal-mode splitting peaks of the cavity transmission in the strong coupling regime due to collective enhancement of the atom-cavity coupling strength by ensemble of cold atoms. The experimental observations are consistent with the theoretical analysis. The multiple normal-mode excitation in the strongly coupled multi-level atom-cavity system may lead to practical application for realizing multi-channel all-optical devices.

arXiv:1901.00127•Jan 1, 2019•5 citations

Observation of cavity-mediated long-range light forces between strongly coupled atoms

Thomas H. Fischer, Peter Maunz, Pepijn W. H. Pinkse +2 more

Summary form only given. We report on the observation of the many-atom dipole-dipole interaction in an ensemble of ultracold rubidium atoms strongly coupled to the standing-wave field of a weakly driven high-finesse optical cavity. The atoms split the cavity resonance into two normal modes. The many-atom light force changes the spatial distribution of the atoms, creating an asymmetry in the usually symmetric normal-mode spectrum, for intracavity photon numbers much less than one. This asymmetry is investigated as a function of the number of atoms and as a function of the intracavity photon number. Moreover, analytical expressions have been derived for the dipole force and the diffusion coefficient for an atom in presence of other atoms. These expressions allow us to simulate the trajectories of several atoms simultaneously. The calculated and measured spectra agree only if the full motional dynamics of all atoms is taken into account.

Conference on Lasers and Electro-Optics•Aug 29, 2005•0 citations

Stochastic electrodynamics simulations for collective atom response in optical cavities

Mark D. Lee, S. D. Jenkins, Yael Bronstein +1 more

We study the collective optical response of an atomic ensemble confined within a single-mode optical cavity by stochastic electrodynamics simulations that include the effects of atomic position correlations, internal level structure, and spatial variations in cavity coupling strength and atom density. In the limit of low light intensity, the simulations exactly reproduce the full quantum field-theoretical description for cold stationary atoms and at higher light intensities we introduce semiclassical approximations to atomic saturation that we compare with the exact solution in the case of two atoms. We find that collective subradiant modes of the atoms, with very narrow linewidths, can be coupled to the cavity field by spatial variation of the atomic transition frequency and resolved at low intensities, and show that they can be specifically driven by tailored transverse pumping beams. We show that the cavity optical response, in particular both the subradiant mode profile and the resonance shift of the cavity mode, can be used as a diagnostic tool for the position correlations of the atoms and hence the atomic quantum many-body phase. The quantum effects are found to be most prominent close to the narrow subradiant mode resonances at high light intensities. Although an optical cavity can generally strongly enhance quantum fluctuations via light confinement, we show that the semiclassical approximation to the stochastic electrodynamics model provides at least a qualitative agreement with the exact optical response outside the subradiant mode resonances even in the presence of significant saturation of the atoms.

arXiv:1703.00784•Physical Review A•Aug 25, 2017•15 citations

Collective coupling of atoms with cavity mode and free-space field

Gessler Hernandez, Jiepeng Zhang, Yifu Zhu

We report an experimental study of the collective coupling of three-level atoms with a cavity mode and a free-space laser field. The measurement of the cavity transmission with a weak probe field coupled into the cavity mode reveals three spectral peaks: two sidebands and a central peak, which is produced by the coherent interaction of the free-space field with individual atoms and the collective interaction of the multiple atoms with the cavity mode. The experimental results agree with a simple calculation based on the classical light transmission through a cavity containing multiple atoms coherently driven by a free-space laser.

Optics Express•Mar 11, 2009•16 citations

Collective strong coupling of cold potassium atoms in a ring cavity

Robert Culver, Andreas Lampis, Balázs Megyeri +5 more

We present experiments on ensemble cavity quantum electrodynamics with cold potassium atoms in a high-finesse ring cavity.Potassium-39 atoms are cooled in a two-dimensional magneto-optical trap and transferred to a three-dimensional trap which intersects the cavity mode.The apparatus is described in detail and the first observations of strong coupling with potassium atoms are presented.Collective strong coupling of atoms and light is demonstrated via the splitting of the cavity transmission spectrum and the avoided crossing of the normal modes.

arXiv:1608.06725•New Journal of Physics•Nov 24, 2016•23 citations
We study the transmission spectra of ultracold rubidium atoms coupled to a high-finesse optical cavity. Under weak probing with \ensuremathπ\ensuremath{\pi}\ensuremathπ-polarized light, the linear response of the system is that of a collective spin with multiple levels coupled to a single mode of the cavity. By varying the atom number, we change the collective coupling of the system. We observe the change in transmission spectra when going from a regime where the collective coupling is much smaller than the separation of the atomic levels to a regime where both are of comparable size. The observations are in good agreement with a reduced model we developed for our system.
We study the transmission spectra of ultracold Rubidium atoms coupled to a high-finesse optical cavity. Under weak probing with pi-polarized light, the system is described by a collective spin with multiple levels coupled to a single mode of the cavity. By varying the atom number, we change the collective coupling of the system. We observe the change in transmission spectra when going from a regime where the collective coupling is much smaller than the separation of the atomic levels to a regime where both are of comparable size. The observations are in good agreement with a reduced model we develop for our system.
We investigate the transmission spectrum of an optical cavity coupled with four-level atoms. Multiple normal-mode splitting peaks of the strongly coupled atom-cavity system are obtained as single cavity mode couples three separated atomic transitions simultaneously. We employ a confocal optical cavity and an ensemble of cold Rb-85 atoms for cavity quantum electrodynamics. We observe four normal-mode splitting peaks of the cavity transmission in the strong coupling regime due to collective enhancement of the atom-cavity coupling strength by ensemble of cold atoms. The experimental observations are consistent with the theoretical analysis. The multiple normal-mode excitation in the strongly coupled multi-level atom-cavity system may lead to practical application for realizing multi-channel all-optical devices.
Summary form only given. We report on the observation of the many-atom dipole-dipole interaction in an ensemble of ultracold rubidium atoms strongly coupled to the standing-wave field of a weakly driven high-finesse optical cavity. The atoms split the cavity resonance into two normal modes. The many-atom light force changes the spatial distribution of the atoms, creating an asymmetry in the usually symmetric normal-mode spectrum, for intracavity photon numbers much less than one. This asymmetry is investigated as a function of the number of atoms and as a function of the intracavity photon number. Moreover, analytical expressions have been derived for the dipole force and the diffusion coefficient for an atom in presence of other atoms. These expressions allow us to simulate the trajectories of several atoms simultaneously. The calculated and measured spectra agree only if the full motional dynamics of all atoms is taken into account.
We study the collective optical response of an atomic ensemble confined within a single-mode optical cavity by stochastic electrodynamics simulations that include the effects of atomic position correlations, internal level structure, and spatial variations in cavity coupling strength and atom density. In the limit of low light intensity, the simulations exactly reproduce the full quantum field-theoretical description for cold stationary atoms and at higher light intensities we introduce semiclassical approximations to atomic saturation that we compare with the exact solution in the case of two atoms. We find that collective subradiant modes of the atoms, with very narrow linewidths, can be coupled to the cavity field by spatial variation of the atomic transition frequency and resolved at low intensities, and show that they can be specifically driven by tailored transverse pumping beams. We show that the cavity optical response, in particular both the subradiant mode profile and the resonance shift of the cavity mode, can be used as a diagnostic tool for the position correlations of the atoms and hence the atomic quantum many-body phase. The quantum effects are found to be most prominent close to the narrow subradiant mode resonances at high light intensities. Although an optical cavity can generally strongly enhance quantum fluctuations via light confinement, we show that the semiclassical approximation to the stochastic electrodynamics model provides at least a qualitative agreement with the exact optical response outside the subradiant mode resonances even in the presence of significant saturation of the atoms.
We report an experimental study of the collective coupling of three-level atoms with a cavity mode and a free-space laser field. The measurement of the cavity transmission with a weak probe field coupled into the cavity mode reveals three spectral peaks: two sidebands and a central peak, which is produced by the coherent interaction of the free-space field with individual atoms and the collective interaction of the multiple atoms with the cavity mode. The experimental results agree with a simple calculation based on the classical light transmission through a cavity containing multiple atoms coherently driven by a free-space laser.
We present experiments on ensemble cavity quantum electrodynamics with cold potassium atoms in a high-finesse ring cavity.Potassium-39 atoms are cooled in a two-dimensional magneto-optical trap and transferred to a three-dimensional trap which intersects the cavity mode.The apparatus is described in detail and the first observations of strong coupling with potassium atoms are presented.Collective strong coupling of atoms and light is demonstrated via the splitting of the cavity transmission spectrum and the avoided crossing of the normal modes.