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

Multidimensional laser cooling of broad- and narrow-line 0↔1 dipole transitions

Daniel J. Phalen, Colin C. Young, Su Yi, Han Pu

Published Sep 14, 2005• 2 citations
Publisher

Abstract

We present a detailed study of laser cooling of neutral atoms with an electric-dipole transition between a ${J}_{g}=0$ ground state and a ${J}_{e}=1$ excited state, for both broad- and narrow-line transitions. We focus on the novel effects arising from the multidimensional nature of the laser configuration and point out under which conditions these features can be observed in practice. Our analysis also shows that qualitative differences in multidimensional laser cooling properties exist between the broad- and the narrow-line transitions.

DOI
10.1103/physreva.72.033406

Related papers

Laser cooling of atoms at narrow optical transitions in fields with a polarisation gradient

R. Ya. Ilenkov, Прудников Олег Николаевич, A. V. Taǐchenachev +1 more

Abstract The efficiency of the polarisation mechanisms of laser cooling of atoms is analysed using narrow optical transitions for which the recoil energy is greater than or comparable to the natural line width. By the example of atoms with the J g = 1 → J e = 2 optical transition (J g and J e are the total angular momenta of the ground and excited states) in the resonant light fields of σ + – σ – and lin⊥lin configurations, the analysis of the minimum achievable energies of laser-cooled atoms is performed. It is shown that the polarisation mechanisms of laser cooling under conditions of a significant influence of recoil effects become less efficient and do not lead to average kinetic energies of an ensemble of atoms below the Doppler limit.

Quantum Electronics•Jun 1, 2020•0 citations

Limit of Doppler cooling

Yvan Castin, Hartmut Wallis, Jean Dalibard

We present a quantum theory of one-dimensional laser cooling of free atoms using a transition with a J = 0 ground state and a J = 1 excited state. This treatment is valid both for broad lines (recoil energy small compared with the energy width ℏ Γ of the excited level) and for narrow lines. For broad lines we recover the well-known cooling limit for a two-level transition (∼ℏΓ/2), whereas for a narrow line the cooling limit is found to be of the order of the recoil energy. The stationary momentum distribution is obtained for both cases and is found to be close to the one obtained by Monte Carlo simulations.

Journal of the Optical Society of America B•Nov 1, 1989•135 citations

Laser cooling on narrow-line optical transitions in monochromatic light

Прудников Олег Николаевич, R. Ya. Ilenkov, А. В. Тайченачев +1 more

We study the laser cooling of atoms with a narrow-line optical transition in monochromatic laser light, i.e. in regimes of quantum nature of laser-light interactions resulting in a significant recoil effect. It is demonstrated that a minimum laser cooling temperature for two-level atom in standing wave reached for red detuning close to 3 recoil frequency, greatly different from the theory used for a semiclassical description of Doppler cooling. A set of dimensionless parameters uniquely characterizing the time evolution and the steady state of different atoms with narrow-line optical transitions in the laser field is introduced. The results can be used for analysis of optimal conditions for laser cooling of atoms with narrow lines such as Ca, Sr, and Mg, which are of great interest for atomic clocks.

AIP conference proceedings•Jan 1, 2019•0 citations

Scaling law in laser cooling on narrow-line optical transitions

Прудников Олег Николаевич, R. Ya. Ilenkov, А. В. Тайченачев +1 more

The laser cooling of atoms with a narrow-line optical transition, i.e., in regimes of quantum nature of laser-light interactions resulting in a significant recoil effect, is studied. It is demonstrated that a minimum laser-cooling temperature for two-level atoms in a standing wave reached for red detuning close to three recoil frequencies is vastly different from the theory used for a semiclassical description of Doppler cooling. A set of dimensionless parameters uniquely characterizing the time evolution and the steady state of different atoms with narrow-line optical transitions in the laser field is introduced. The results can be used for analysis of optimal conditions for laser cooling of atoms with narrow lines such as Ca, Sr, and Mg, which are of great interest for atomic clocks.

arXiv:1809.10905•Physical Review A•Feb 26, 2019•10 citations

Kinetics of atoms cooled on clock transitions: Behavior of energy and momentum

R. Ya. Ilenkov, A. V. Taǐchenachev, Valeriy I. Yudin +1 more

We study laser cooling of atoms with narrow-line optical transition, i.e. in regimes when quantum nature of laser-light interactions results significant effect on atom kinetics. We demonstrate the minimum of laser cooing temperature is reached for the light field detuning close to -3 recoil frequency, i.e. is much differ from standard Doppler cooling theory is used for semiclassical description of laser cooling. We define a set of dimensionless parameters that describe the steady state solution of cold atom distribution in laser light and cooling time. The results can be used for analysis an optimal conditions of laser cooling of atoms with narrow lines Ca, Sr and Mg are of interest for optical time standards.

European Frequency and Time Forum•Apr 1, 2018•0 citations

Investigation of the possibility of ultra-deep laser cooling using a quadrupole transition

Anastasia Kirpichnikova, Прудников Олег Николаевич, David Wilkowski

Abstract We consider the kinetics of atoms in nonuniform spatially polarised light fields resonant to the quadrupole optical transition with F g → F e = F g + 2 (F g,e is the total angular momentum in the ground and excited states). The lowest possible temperatures of laser cooling of atoms are analysed numerically and the results are compared with the data obtained for sub-Doppler cooling using light waves resonant to electric dipole optical transitions.

Quantum Electronics•May 8, 2019•3 citations
We present a detailed study of laser cooling of neutral atoms with an electric-dipole transition between a Jg=0{J}_{g}=0Jg​=0 ground state and a Je=1{J}_{e}=1Je​=1 excited state, for both broad- and narrow-line transitions. We focus on the novel effects arising from the multidimensional nature of the laser configuration and point out under which conditions these features can be observed in practice. Our analysis also shows that qualitative differences in multidimensional laser cooling properties exist between the broad- and the narrow-line transitions.
Abstract The efficiency of the polarisation mechanisms of laser cooling of atoms is analysed using narrow optical transitions for which the recoil energy is greater than or comparable to the natural line width. By the example of atoms with the J g = 1 → J e = 2 optical transition (J g and J e are the total angular momenta of the ground and excited states) in the resonant light fields of σ + – σ – and lin⊥lin configurations, the analysis of the minimum achievable energies of laser-cooled atoms is performed. It is shown that the polarisation mechanisms of laser cooling under conditions of a significant influence of recoil effects become less efficient and do not lead to average kinetic energies of an ensemble of atoms below the Doppler limit.
We present a quantum theory of one-dimensional laser cooling of free atoms using a transition with a J = 0 ground state and a J = 1 excited state. This treatment is valid both for broad lines (recoil energy small compared with the energy width ℏ Γ of the excited level) and for narrow lines. For broad lines we recover the well-known cooling limit for a two-level transition (∼ℏΓ/2), whereas for a narrow line the cooling limit is found to be of the order of the recoil energy. The stationary momentum distribution is obtained for both cases and is found to be close to the one obtained by Monte Carlo simulations.
We study the laser cooling of atoms with a narrow-line optical transition in monochromatic laser light, i.e. in regimes of quantum nature of laser-light interactions resulting in a significant recoil effect. It is demonstrated that a minimum laser cooling temperature for two-level atom in standing wave reached for red detuning close to 3 recoil frequency, greatly different from the theory used for a semiclassical description of Doppler cooling. A set of dimensionless parameters uniquely characterizing the time evolution and the steady state of different atoms with narrow-line optical transitions in the laser field is introduced. The results can be used for analysis of optimal conditions for laser cooling of atoms with narrow lines such as Ca, Sr, and Mg, which are of great interest for atomic clocks.
The laser cooling of atoms with a narrow-line optical transition, i.e., in regimes of quantum nature of laser-light interactions resulting in a significant recoil effect, is studied. It is demonstrated that a minimum laser-cooling temperature for two-level atoms in a standing wave reached for red detuning close to three recoil frequencies is vastly different from the theory used for a semiclassical description of Doppler cooling. A set of dimensionless parameters uniquely characterizing the time evolution and the steady state of different atoms with narrow-line optical transitions in the laser field is introduced. The results can be used for analysis of optimal conditions for laser cooling of atoms with narrow lines such as Ca, Sr, and Mg, which are of great interest for atomic clocks.
We study laser cooling of atoms with narrow-line optical transition, i.e. in regimes when quantum nature of laser-light interactions results significant effect on atom kinetics. We demonstrate the minimum of laser cooing temperature is reached for the light field detuning close to -3 recoil frequency, i.e. is much differ from standard Doppler cooling theory is used for semiclassical description of laser cooling. We define a set of dimensionless parameters that describe the steady state solution of cold atom distribution in laser light and cooling time. The results can be used for analysis an optimal conditions of laser cooling of atoms with narrow lines Ca, Sr and Mg are of interest for optical time standards.