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Physical Review A

Optical quenching of metastable magnesium

N. Rehbein, T. E. Mehlstäubler, Jochen Keupp, Karsten Moldenhauer, Ernst Maria Rasel, Wolfgang A. Ertmer, A. Douillet, Volker Michels, S. G. Porsev, Andrei Derevianko, Charlotte Froese Fischer, Georgio I. Tachiev, Vitaly G. Palchikov

Published Oct 8, 2007• 13 citations
Publisher

Abstract

Doppler cooling on narrow transitions has become a crucial technique for preparing ultracold samples of alkaline-earth-metal and alkaline-earth-metal-like atoms. For lighter species, such as calcium and magnesium, this technique relies on artificial broadening (quenching) of the upper level of the narrow line. We report on quenching experiments on a $^{24}\mathrm{Mg}$ atomic beam. The branching ratio of the ${(3s4s)}^{1}{S}_{0}$ state was determined to be $\ensuremath{\beta}=(1.33\ifmmode\pm\else\textpm\fi{}0.53)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ from the measured quenching efficiency. The branching ratio combined with the known linewidth of this state yields a transition rate for ${(3s3p)}^{3}{P}_{1}\ensuremath{\rightarrow}{(3s4s)}^{1}{S}_{0}$ of ${\ensuremath{\Gamma}}_{23}=283\ifmmode\pm\else\textpm\fi{}114\phantom{\rule{0.3em}{0ex}}{\mathrm{s}}^{\ensuremath{-}1}$, i.e., one order of magnitude smaller than estimated from semiempirical data. We have applied different numerical approaches, including ab initio relativistic many-body calculations, to compute the transition probabilities of the ${(3s3p)}^{3}{P}_{1}\ensuremath{\rightarrow}{(3s4s)}^{1}{S}_{0}$ and ${(3s3p)}^{1}{P}_{1}\ensuremath{\rightarrow}{(3s4s)}^{1}{S}_{0}$ transitions. The results are in good agreement with our experimental observation. With the measured branching ratio, we expect a transfer efficiency of Doppler-cooled atoms into a quench magneto-optical trap (QuenchMOT) of approximately 1% for our experimental parameters. According to our simulations, the transfer efficiency can be increased by one order of magnitude for lower ensemble temperatures as recently demonstrated by two-photon cooling in our uv MOT.

DOI
10.1103/physreva.76.043406

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Doppler cooling on narrow transitions has become a crucial technique for preparing ultracold samples of alkaline-earth-metal and alkaline-earth-metal-like atoms. For lighter species, such as calcium and magnesium, this technique relies on artificial broadening (quenching) of the upper level of the narrow line. We report on quenching experiments on a 24Mg^{24}\mathrm{Mg}24Mg atomic beam. The branching ratio of the (3s4s)1S0{(3s4s)}^{1}{S}_{0}(3s4s)1S0​ state was determined to be \ensuremathβ=(1.33\ifmmode±\else\textpm\fi0.53)\ifmmode×\else\texttimes\fi10\ensuremath−5\ensuremath{\beta}=(1.33\ifmmode\pm\else\textpm\fi{}0.53)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}\ensuremathβ=(1.33\ifmmode±\else\textpm\fi0.53)\ifmmode×\else\texttimes\fi10\ensuremath−5 from the measured quenching efficiency. The branching ratio combined with the known linewidth of this state yields a transition rate for (3s3p)3P1\ensuremath→(3s4s)1S0{(3s3p)}^{3}{P}_{1}\ensuremath{\rightarrow}{(3s4s)}^{1}{S}_{0}(3s3p)3P1​\ensuremath→(3s4s)1S0​ of \ensuremathΓ23=283\ifmmode±\else\textpm\fi114s\ensuremath−1{\ensuremath{\Gamma}}_{23}=283\ifmmode\pm\else\textpm\fi{}114\phantom{\rule{0.3em}{0ex}}{\mathrm{s}}^{\ensuremath{-}1}\ensuremathΓ23​=283\ifmmode±\else\textpm\fi114s\ensuremath−1, i.e., one order of magnitude smaller than estimated from semiempirical data. We have applied different numerical approaches, including ab initio relativistic many-body calculations, to compute the transition probabilities of the (3s3p)3P1\ensuremath→(3s4s)1S0{(3s3p)}^{3}{P}_{1}\ensuremath{\rightarrow}{(3s4s)}^{1}{S}_{0}(3s3p)3P1​\ensuremath→(3s4s)1S0​ and (3s3p)1P1\ensuremath→(3s4s)1S0{(3s3p)}^{1}{P}_{1}\ensuremath{\rightarrow}{(3s4s)}^{1}{S}_{0}(3s3p)1P1​\ensuremath→(3s4s)1S0​ transitions. The results are in good agreement with our experimental observation. With the measured branching ratio, we expect a transfer efficiency of Doppler-cooled atoms into a quench magneto-optical trap (QuenchMOT) of approximately 1% for our experimental parameters. According to our simulations, the transfer efficiency can be increased by one order of magnitude for lower ensemble temperatures as recently demonstrated by two-photon cooling in our uv MOT.
Quench cooling is a promising technique to reach ultra-cold temperatures in alkaline-earth atoms by Doppler cooling on ultra-narrow transitions. The principles of quench cooling are derived from an effective two-level system with a linewidth adjustable by the quenching laser. A tunable linewidth reconciles the contradictory requirements of a fast cooling rate and a high velocity selectivity at high and low temperatures, respectively. In this paper, we investigate the efficiency of quench cooling in alkaline-earth systems. We present a one-dimensional analytical description of the quenching process. Cooling and trapping in three dimensions is studied with semi-classical Monte Carlo simulations. Our results for magnesium indicate a loading efficiency of up to 40% of pre-cooled atoms at 2 mK into a QuenchMOT. Final temperatures of 9µ K and an increase in phase-space density by almost five orders of magnitude are observed in the simulations.
We demonstrate cooling of calcium atoms using a two-photon transition from the 1S0{}^{1}{S}_{0}1S0​ ground state to the upper 4s5s1S04s5s\phantom{\rule{3.33333pt}{0ex}}{}^{1}{S}_{0}4s5s1S0​ state via the 1P1{}^{1}{P}_{1}1P1​ intermediate state. We achieve temperatures as low as $260\phantom{\rule{0.16em}{0ex}}\textmu{}\mathrm{K}$ in a magnetooptical trap (MOT), well below the Doppler limit (TD=0.8mK{T}_{\text{D}}=0.8\phantom{\rule{0.16em}{0ex}}\mathrm{m}\mathrm{K}TD​=0.8mK) of the 1P1{}^{1}{P}_{1}1P1​ state. We characterize the temperature, lifetime, and confinement of the MOT over a range of experimental parameters, observing no reduction in lifetime due to coupling to the higher state. We perform theoretical simulations of the cooling scheme and observe good agreement with the experimental results. The two-photon cooling scheme presented in this work provides an alternative to the standard Doppler cooling applied to alkaline-earth atoms, based on a sequence of two magnetooptical traps. The advantages of our scheme are the possibility of varying the effective linewidth of the 1P1{}^{1}{P}_{1}1P1​ state, a higher transfer efficiency (close to 100100%100), and a more straightforward experimental implementation.
A two-photon mechanism for cooling atoms below the Doppler temperature is analyzed. We consider the magnesium ladder system $(3{s}^{2})^{1}S_{0}\ensuremath{\rightarrow}(3s3p)^{1}P_{1}$ at 285.2nm285.2\phantom{\rule{0.3em}{0ex}}\mathrm{nm}285.2nm followed by the $(3s3p)^{1}P_{1}\ensuremath{\rightarrow}(3s3d)^{1}D_{2}$ transition at 880.7nm880.7\phantom{\rule{0.3em}{0ex}}\mathrm{nm}880.7nm. For the ladder system quantum coherence effects may become important. Combined with the basic two-level Doppler cooling process this allows for reduction of the atomic sample temperature by more than a factor of 10 over a broad frequency range. First experimental evidence for the two-photon cooling process is presented and compared to model calculations. Agreement between theory and experiment is excellent. In addition, by properly choosing the Rabi frequencies of the two optical transitions a velocity independent atomic dark state is observed.
The possibility of laser cooling of alkaline-earth-metal atoms and ytterbium atoms using a two-photon transition is analyzed. We consider a ${}^{1}{S}_{0}{\ensuremath{-}}^{1}{S}_{0}$ transition with excitation in near resonance with the 1P1{}^{1}{P}_{1}1P1​ level. This greatly increases the two-photon transition rate, allowing an effective transfer of momentum. The experimental implementation of this technique is discussed and we show that for calcium, for example, two-photon cooling can be used to achieve a Doppler limit of $123\ensuremath{\mu}\mathrm{K}.$ The efficiency of this cooling scheme and the main loss mechanisms are analyzed.
We report three-stage laser cooling of Sr atoms using the 5s21S05{s}^{2}\phantom{\rule{0.16em}{0ex}}^{1}S_{0}5s21S0​ ground state and the 5s5p3P25s5p\phantom{\rule{0.16em}{0ex}}^{3}P_{2}5s5p3P2​ metastable state. 87Sr^{87}\mathrm{Sr}87Sr atoms are precooled in a magneto-optical trap simultaneously operated on the 5s21S05{s}^{2}\phantom{\rule{0.16em}{0ex}}^{1}S_{0}5s21S0​--5s5p1P15s5p\phantom{\rule{0.16em}{0ex}}^{1}P_{1}5s5p1P1​ transition at 461 nm and on the 5s5p3P25s5p\phantom{\rule{0.16em}{0ex}}^{3}P_{2}5s5p3P2​--5s5d3D35s5d\phantom{\rule{0.16em}{0ex}}^{3}D_{3}5s5d3D3​ transition at 496 nm. Atoms optically pumped to the 5s5p3P2(F=13/2)5s5p\phantom{\rule{0.16em}{0ex}}^{3}P_{2}(F=13/2)5s5p3P2​(F=13/2) state are magneto-optically trapped and cooled down to 2.5(2) $\ensuremath{\mu}\mathrm{K}$ on the 5s5p3P25s5p\phantom{\rule{0.16em}{0ex}}^{3}P_{2}5s5p3P2​--5s4d3D35s4d\phantom{\rule{0.16em}{0ex}}^{3}D_{3}5s4d3D3​ transition at $2.9\phantom{\rule{0.28em}{0ex}}\ensuremath{\mu}\mathrm{m}$. Using this transition, we investigate one dimensional polarization gradient cooling of 88Sr^{88}\mathrm{Sr}88Sr atoms, which have simple energy levels without hyperfine structure, down to 0.22(18) $\ensuremath{\mu}\mathrm{K}$ or 17 times the recoil temperature. We discuss prospects for continuous generation of ultracold Sr atoms combined with a state transfer technique.
We present a cooling method that should be generally applicable to atoms with narrow optical transitions. This technique uses velocity-selective pulses to drive atoms towards a zero-velocity dark state and then quenches the excited state to increase the cooling rate. We demonstrate this technique of quenched narrow-line cooling by reducing the 1D temperature of a sample of neutral 40Ca{}^{40}\mathrm{Ca}40Ca atoms. We cool selected velocities with the 1S0(4s2)3P1(4s4p){}^{1}{S}_{0}{(4s}^{2}{)}^{3}{P}_{1}(4s4p)1S0​(4s2)3P1​(4s4p) 657-nm intercombination line and quench with the 3P1(4s4p)1S0(4s5s){}^{3}{P}_{1}{(4s4p)}^{1}{S}_{0}(4s5s)3P1​(4s4p)1S0​(4s5s) intercombination line at 553 nm, which increases the cooling rate eightfold. Limited only by available quenching laser power, we have transferred 18% of the atoms from our initial 2-mK velocity distribution and achieved temperatures as low as 4 \ensuremath{\mu}K, corresponding to a vrms{v}_{\mathrm{rms}}vrms​ of 2.8 cm/s or 2 recoils at 657 nm. This cooling technique, which is closely related to Raman cooling, can be extended to three dimensions.