Physical Review A

Simulation of the hyperfine-resolved Zeeman spectrum of Eu atoms in a magnetic trap

Long Cai, Břetislav Friedrich, John M. Doyle

Published Feb 15, 2000• 8 citations

Abstract

We present a simulation of the laser absorption spectra of Eu atoms in the $a{}^{8}{S}_{7/2}\ensuremath{-}y{}^{8}{P}_{7/2}$ band at $462.7 \mathrm{nm}$ measured previously in a buffer-gas-loaded magnetic trap [J. Kim et al., Phys. Rev. Lett. 78, 3665 (1997)]. The simulations of the hyperfine-resolved Zeeman spectra are based on exact magnetic eigenproperties of the states involved, and yield a complete assignment of all the features observed. This reveals that apart from the ${M}_{J}=7/2$ state and its hyperfine substates, the ${M}_{J}=5/2$ and $3/2$ states are also trapped at ${B}_{\mathrm{max}}=0.52 \mathrm{T}$ and a temperature of about $250 \mathrm{mK}.$

DOI: 10.1103/physreva.61.033412

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Buffer-Gas Loading and Magnetic Trapping of Atomic Europium

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Physical Review A

Simulation of the hyperfine-resolved Zeeman spectrum of Eu atoms in a magnetic trap

Long Cai, Břetislav Friedrich, John M. Doyle

Published Feb 15, 2000• 8 citations

Publisher

Abstract

We present a simulation of the laser absorption spectra of Eu atoms in the

a{}^{8}{S}_{7/2}\ensuremath{-}y{}^{8}{P}_{7/2}

band at

462.7 \mathrm{nm}

measured previously in a buffer-gas-loaded magnetic trap [J. Kim et al., Phys. Rev. Lett. 78, 3665 (1997)]. The simulations of the hyperfine-resolved Zeeman spectra are based on exact magnetic eigenproperties of the states involved, and yield a complete assignment of all the features observed. This reveals that apart from the

{M}_{J}=7/2

state and its hyperfine substates, the

{M}_{J}=5/2

and

3/2

states are also trapped at

{B}_{\mathrm{max}}=0.52 \mathrm{T}

and a temperature of about

250 \mathrm{mK}.

DOI: 10.1103/physreva.61.033412

Related papers

Buffer-Gas Loading and Magnetic Trapping of Atomic Europium

Jinha Kim, Břetislav Friedrich, Daniel P. Katz +4 more

Atomic europium has been magnetically trapped using buffer-gas loading. Laser ablated $\mathrm{Eu}(^{8}S_{7/2})$ atoms are thermalized to 800 mK in a ${}^{4}\mathrm{He}$ buffer gas (to 250 mK in a ${}^{3}\mathrm{He}$ buffer gas). Anti-Helmholtz superconducting coils produce a quadrupole magnetic field to trap the ${M}_{J}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}7/2$ state of Eu. Detection is via absorption spectroscopy at 462.7 nm. Up to $1\ifmmode\times\else\texttimes\fi{}{10}^{12}\mathrm{Eu}$ atoms are loaded at a central density of $5\ifmmode\times\else\texttimes\fi{}{10}^{12}\phantom{\rule{0ex}{0ex}}{\mathrm{cm}}^{\ensuremath{-}3}$. Atoms can be held for longer than 100 s.Atomic europium has been magnetically trapped using buffer-gas loading. Laser ablated $\mathrm{Eu}(^{8}S_{7/2})$ atoms are thermalized to 800 mK in a ${}^{4}\mathrm{He}$ buffer gas (to 250 mK in a ${}^{3}\mathrm{He}$ buffer gas). Anti-Helmholtz superconducting coils produce a quadrupole magnetic field to trap the ${M}_{J}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}7/2$ state of Eu. Detection is via absorption spectroscopy at 462.7 nm. Up to $1\ifmmode\times\else\texttimes\fi{}{10}^{12}\mathrm{Eu}$ atoms are loaded at a central density of $5\ifmmode\times\else\texttimes\fi{}{10}^{12}\phantom{\rule{0ex}{0ex}}{\mathrm{cm}}^{\ensuremath{-}3}$. Atoms can be held for longer than 100 s.

Physical Review LettersMay 12, 1997111 citations

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NH radicals are magnetically trapped and their Zeeman relaxation and energy transport collision cross sections with helium are measured. Continuous buffer-gas loading of the trap is direct from a room-temperature molecular beam. The Zeeman relaxation (inelastic) cross section of magnetically trapped electronic, vibrational, and rotational ground state NH molecules in collisions with $^{3}\mathrm{He}$ is measured to be $3.8\ifmmode\pm\else\textpm\fi{}1.1\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}19}\text{ }\text{ }{\mathrm{cm}}^{2}$ at 710 mK. The NH-He energy transport cross section is also measured, indicating a ratio of diffusive to inelastic cross sections of $\ensuremath{\gamma}=7\ifmmode\times\else\texttimes\fi{}{10}^{4}$, in agreement with recent theory [R. V. Krems, H. R. Sadeghpour, A. Dalgarno, D. Zgid, J. K\l{}os, and G. Cha\l{}asi\ifmmode \acute{n}\else \'{n}\fi{}ski, Phys. Rev. A 68, 051401 (2003)].NH radicals are magnetically trapped and their Zeeman relaxation and energy transport collision cross sections with helium are measured. Continuous buffer-gas loading of the trap is direct from a room-temperature molecular beam. The Zeeman relaxation (inelastic) cross section of magnetically trapped electronic, vibrational, and rotational ground state NH molecules in collisions with $^{3}\mathrm{He}$ is measured to be $3.8\ifmmode\pm\else\textpm\fi{}1.1\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}19}\text{ }\text{ }{\mathrm{cm}}^{2}$ at 710 mK. The NH-He energy transport cross section is also measured, indicating a ratio of diffusive to inelastic cross sections of $\ensuremath{\gamma}=7\ifmmode\times\else\texttimes\fi{}{10}^{4}$, in agreement with recent theory [R. V. Krems, H. R. Sadeghpour, A. Dalgarno, D. Zgid, J. K\l{}os, and G. Cha\l{}asi\ifmmode \acute{n}\else \'{n}\fi{}ski, Phys. Rev. A 68, 051401 (2003)].

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Břetislav Friedrich, Robert deCarvalho, Jinha Kim +3 more

The advent of buffer-gas loaded magnetic traps for atoms has opened the possibility of trapping paramagnetic molecules. We survey our results on the loading, trapping and spectroscopy of Eu atoms that demonstrated the technique. The principles governing molecular trapping considering in particular the O2 and NO systems are outlined. The trapping of molecules should prove particularly useful in spectroscopy, especially ultra-high resolution spectroscopy that requires cold (slow), trapped (long interaction time) samples. Similar to cold atoms, cold molecules could be interrogated at a level of detail which is likely to provide new insights into their structure and interactions.The advent of buffer-gas loaded magnetic traps for atoms has opened the possibility of trapping paramagnetic molecules. We survey our results on the loading, trapping and spectroscopy of Eu atoms that demonstrated the technique. The principles governing molecular trapping considering in particular the O2 and NO systems are outlined. The trapping of molecules should prove particularly useful in spectroscopy, especially ultra-high resolution spectroscopy that requires cold (slow), trapped (long interaction time) samples. Similar to cold atoms, cold molecules could be interrogated at a level of detail which is likely to provide new insights into their structure and interactions.

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We report on high-resolution microwave spectroscopy of cesium Rydberg $(n+2){D}_{5/2}\ensuremath{\rightarrow}n{F}_{J}$ transitions in a cold atomic gas. Atoms laser-cooled and trapped in a magnetic-optical trap are prepared in the $D$ Rydberg state using a two-step laser excitation scheme. A microwave field transmitted into the chamber with a microwave horn drives the Rydberg transitions, which are probed via state selective field ionization. Varying duration and power of the microwave pulse, we observe Fourier sideband spectra as well as damped, on-resonant Rabi oscillations with pulse areas up to $\ensuremath{\gtrsim}3\ensuremath{\pi}$. Furthermore, we investigate the Zeeman effect of the clearly resolved $n{F}_{J}$ fine-structure levels in fields up to 120 mG, where the transition into $n{F}_{7/2}$ displays a thee-peak Zeeman pattern, while $n{F}_{5/2}$ shows a two-peak pattern. Our theoretical models explain all observed spectral characteristics, showing good agreement with the experiment. Our measurements provide a pathway for the study of high-angular-momentum Rydberg states, initialization and coherent manipulation of such states, Rydberg-atom macrodimers, and other Rydberg-atom interactions. Furthermore, the presented methods are suitable for calibration of microwave radiation as well as for nulling and calibration of dc magnetic fields in experimental chambers for cold atoms.We report on high-resolution microwave spectroscopy of cesium Rydberg $(n+2){D}_{5/2}\ensuremath{\rightarrow}n{F}_{J}$ transitions in a cold atomic gas. Atoms laser-cooled and trapped in a magnetic-optical trap are prepared in the $D$ Rydberg state using a two-step laser excitation scheme. A microwave field transmitted into the chamber with a microwave horn drives the Rydberg transitions, which are probed via state selective field ionization. Varying duration and power of the microwave pulse, we observe Fourier sideband spectra as well as damped, on-resonant Rabi oscillations with pulse areas up to $\ensuremath{\gtrsim}3\ensuremath{\pi}$. Furthermore, we investigate the Zeeman effect of the clearly resolved $n{F}_{J}$ fine-structure levels in fields up to 120 mG, where the transition into $n{F}_{7/2}$ displays a thee-peak Zeeman pattern, while $n{F}_{5/2}$ shows a two-peak pattern. Our theoretical models explain all observed spectral characteristics, showing good agreement with the experiment. Our measurements provide a pathway for the study of high-angular-momentum Rydberg states, initialization and coherent manipulation of such states, Rydberg-atom macrodimers, and other Rydberg-atom interactions. Furthermore, the presented methods are suitable for calibration of microwave radiation as well as for nulling and calibration of dc magnetic fields in experimental chambers for cold atoms.

arXiv:2309.04749Physical Review AFeb 27, 20246 citations

We present a simulation of the laser absorption spectra of Eu atoms in the

a{}^{8}{S}_{7/2}\ensuremath{-}y{}^{8}{P}_{7/2}

band at

462.7 \mathrm{nm}

{M}_{J}=7/2

state and its hyperfine substates, the

{M}_{J}=5/2

and

3/2

states are also trapped at

{B}_{\mathrm{max}}=0.52 \mathrm{T}

and a temperature of about

250 \mathrm{mK}.

Atomic europium has been magnetically trapped using buffer-gas loading. Laser ablated

\mathrm{Eu}(^{8}S_{7/2})

atoms are thermalized to 800 mK in a

{}^{4}\mathrm{He}

buffer gas (to 250 mK in a

{}^{3}\mathrm{He}

buffer gas). Anti-Helmholtz superconducting coils produce a quadrupole magnetic field to trap the

{M}_{J}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}7/2

state of Eu. Detection is via absorption spectroscopy at 462.7 nm. Up to $1\ifmmode\times\else\texttimes\fi{}{10}^{12}\mathrm{Eu}$ atoms are loaded at a central density of $5\ifmmode\times\else\texttimes\fi{}{10}^{12}\phantom{\rule{0ex}{0ex}}{\mathrm{cm}}^{\ensuremath{-}3}$. Atoms can be held for longer than 100 s.

Ground-state

{}^{52}\mathrm{Cr}

atoms have been magnetically trapped using buffer-gas loading. The atoms are produced by laser ablation of solid

{}^{52}\mathrm{Cr},

thermalized by collisions with a cryogenically cooled helium buffer gas, and trapped by an anti-Helmholtz quadrupole magnetic field. The atoms are detected by absorption spectroscopy on the ${a}^{7}{S}_{3}\ensuremath{\leftrightarrow}{z}^{7}{P}_{3}$ transition at 427.6 nm. Using this technique, approximately

{10}^{11}

atoms are loaded into the trap in a single ablation pulse. Loading has been demonstrated at temperatures from 0.3 to 1.4 K.

^{3}\mathrm{He}

is measured to be $3.8\ifmmode\pm\else\textpm\fi{}1.1\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}19}\text{ }\text{ }{\mathrm{cm}}^{2}$ at 710 mK. The NH-He energy transport cross section is also measured, indicating a ratio of diffusive to inelastic cross sections of $\ensuremath{\gamma}=7\ifmmode\times\else\texttimes\fi{}{10}^{4}$, in agreement with recent theory [R. V. Krems, H. R. Sadeghpour, A. Dalgarno, D. Zgid, J. K\l{}os, and G. Cha\l{}asi\ifmmode \acute{n}\else \'{n}\fi{}ski, Phys. Rev. A 68, 051401 (2003)].

D

Rydberg state using a two-step laser excitation scheme. A microwave field transmitted into the chamber with a microwave horn drives the Rydberg transitions, which are probed via state selective field ionization. Varying duration and power of the microwave pulse, we observe Fourier sideband spectra as well as damped, on-resonant Rabi oscillations with pulse areas up to $\ensuremath{\gtrsim}3\ensuremath{\pi}$. Furthermore, we investigate the Zeeman effect of the clearly resolved

n{F}_{J}

fine-structure levels in fields up to 120 mG, where the transition into

n{F}_{7/2}

displays a thee-peak Zeeman pattern, while

n{F}_{5/2}

shows a two-peak pattern. Our theoretical models explain all observed spectral characteristics, showing good agreement with the experiment. Our measurements provide a pathway for the study of high-angular-momentum Rydberg states, initialization and coherent manipulation of such states, Rydberg-atom macrodimers, and other Rydberg-atom interactions. Furthermore, the presented methods are suitable for calibration of microwave radiation as well as for nulling and calibration of dc magnetic fields in experimental chambers for cold atoms.