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Laser Physics

Deep laser cooling of magnesium atoms using a 33P2→33D3dipole transition

Denis V. Brazhnikov, A E Bonert, Andrei Goncharov, A. V. Taǐchenachev, Valeriy I. Yudin

Published May 29, 2014• 7 citations
Publisher

Abstract

We present the theoretical analysis of sub-Doppler laser cooling of 24Mg atoms using dipole transition 33P2→33D3 under two counterpropagating light waves with opposite circular polarizations (one-dimensional σ+σ– configuration). For numerical calculations the standard semi-classical approach based on the Fokker–Planck equation for linear momentum distribution of atoms is exploited. The distributions are gained beyond the limits of slow atoms approximation and for an arbitrary light field intensity. The absence of these limits allows us to determine the optimal parameters of the light field to maximize a fraction of ultracold atoms (T ~ 10 μK) in a whole atomic cloud. In particular, under certain conditions the fraction can reach a value of 50%. Solution of the existing problems in deep laser cooling of magnesium atoms has obvious prospects for atomic optics and quantum metrology: for instance, in designing new-generation optical frequency and time standards based on cold atoms in optical lattices.

DOI
10.1088/1054-660x/24/7/074011

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We present the theoretical analysis of sub-Doppler laser cooling of 24Mg atoms using dipole transition 33P2→33D3 under two counterpropagating light waves with opposite circular polarizations (one-dimensional σ+σ– configuration). For numerical calculations the standard semi-classical approach based on the Fokker–Planck equation for linear momentum distribution of atoms is exploited. The distributions are gained beyond the limits of slow atoms approximation and for an arbitrary light field intensity. The absence of these limits allows us to determine the optimal parameters of the light field to maximize a fraction of ultracold atoms (T ~ 10 μK) in a whole atomic cloud. In particular, under certain conditions the fraction can reach a value of 50%. Solution of the existing problems in deep laser cooling of magnesium atoms has obvious prospects for atomic optics and quantum metrology: for instance, in designing new-generation optical frequency and time standards based on cold atoms in optical lattices.
Theoretical analysis of sub-Doppler laser cooling of 24Mg atoms using 33 P2 → 33 D3 transition in the field of two counterpropagating light waves with opposite circular polarizations is presented. The standard semi-classical approach based on the Fokker-Plank equation is exploited for numerical modeling of laser cooling. The problem is solved out of limits of slow atom approximation and for arbitrary light intensity. The dependences of light force and diffusion on an atomic velocity are studied for various frequency detuning and Rabi frequency. Also, to obtain optimal parameters of laser cooling, the atomic velocity distributions are investigated for various conditions and the dependence of average atomic kinetic energy on the light field intensity and frequency detuning is calculated. In the case of strong field a multi-spike velocity distribution profile is observed. It results from various nonlinear effects accompany absorption of laser photons by atoms. In conclusion we make additional recommendations to increase atoms in metastable state 33 P2, what is necessary for effective laser cooling
Deep laser cooling of 24Mg^{24}\mathrm{Mg}24Mg atoms has been theoretically studied. We propose a two-stage sub-Doppler cooling strategy using electrodipole transition $3\phantom{\rule{0.16em}{0ex}}{}^{3}{P}_{2}\ensuremath{\rightarrow}3\phantom{\rule{0.16em}{0ex}}{}^{3}{D}_{3}$ ($\ensuremath{\lambda}\phantom{\rule{0.16em}{0ex}}=\phantom{\rule{0.16em}{0ex}}383.8$ nm). The first stage implies exploiting magneto-optical trap with ${\ensuremath{\sigma}}^{+}$ and ${\ensuremath{\sigma}}^{\ensuremath{-}}$ light beams, while at the second stage lin $\ensuremath{\perp}$ lin molasses is used. We focus on achieving a large number of ultracold atoms (${T}_{\mathrm{eff}}<10 \ensuremath{\mu}\mathrm{K}$) in a cold-atomic cloud. The calculations have been based on quantum treatment, taking into full account the recoil effect and beyond many widely used approximations. Steady-state values of average kinetic energy and linear momentum distributions of cold atoms have been analyzed for various light-field intensities and frequency detunings. The results of conducted quantum analysis have been significantly different from the results achieved under a semiclassical approximation based on the Fokker-Planck equation. The second cooling stage allows achieving sufficiently lower kinetic energies of the atomic cloud as well as increased fraction of ultracold atoms at certain conditions compared to the first one. We hope that the obtained results can help in overcoming current experimental problems in deep cooling of 24Mg^{24}\mathrm{Mg}24Mg atoms by means of laser field. Cold magnesium atoms cooled in a large amount to several $\ensuremath{\mu}\mathrm{K}$ are of huge interest to, for example, quantum metrology and to other many-body cold-atoms physics.
Abstract Two approaches for solving the long-standing problem of deep laser cooling of neutral magnesium atoms are proposed. The first one uses optical molasses with orthogonal linear polarizations of light waves. The second approach involves a ‘nonstandard’ magneto-optical trap (NMOT) composed of light waves with elliptical polarizations (in general). Both the widely used semiclassical approach based on the Fokker–Planck equation and quantum treatment fully taking into account the recoil effect are employed for theoretical analysis. The results show the possibility of obtaining temperatures lower than 100 µ K simultaneously with a large number of cold atoms ~10 6 ÷ 10 7 . A new velocity-selective cooling technique allowing one to reach the microkelvin temperature range is also proposed. This technique may have some advantages over, for instance, the shallow-dipole-trap technique utilized by other authors. In the case of magnesium atoms this new technique may be used for obtaining a large number of ultracold atoms ( T ~ 1 µ K, N > 10 5 ). Such a large number of ultracold atoms is crucial issue for metrological and many other applications of cold atoms.
We theoretically describe two approaches aimed at solving the existing problem of deep laser cooling of neutral magnesium atoms. The first approach based on using optical molasses with orthogonal linear polarizations of light waves, while the second one implies exploiting “nonstandard” magneto-optical trap composed of elliptically polarized (in general) light waves. The widely used semiclassical approximation based on the Fokker-Planck equation as well as the full quantum treatment (with full account of the recoil effect) are applied for theoretical analysis. The results are crucial for metrological and some other applications of cold atoms.
Laser cooling dynamics of neutral atoms with a closed optical transition Jg → Je in light fields with nonuniform polarization formed by counterpropagating waves with linear, circular or elliptical polarization was considered. For the case of finite interaction time of atoms with light field both mechanisms of Doppler and Sub-Doppler laser cooling affected on atoms in ensemble having different velocities were taken into account. We get qualitative relations on a base of numerical analysis in a frame of quasiclassical treatment of laser cooling. These relations allow to define optimal parameters of cooling waves, i.e. polarization, detuning from atomic resonance and intensity of light waves for the most rapid and dip laser cooling from initially wide momentum distribution for finite interaction time of atoms with laser field
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.