arXiv:1306.6473

High accuracy photoassociation of $^{40}$Ca near the ${^3P_1}+{^1S_0}$ asymptote and its Zeeman effect

Max Kahmann, E. Tiemann, Appel, Oliver, Uwe Sterr, F. Riehle

Published Jun 27, 2013• 0 citations

Abstract

We report on the first measurement of narrow photoassociation lines of $^{40}$Ca near the ${^3P_1}+{^1S_0}$ asymptote related to the molecular states $^3Π_u$ and $^3Σ^+_u$. The highly accurate binding energies and Zeeman splittings are well described by a coupled channel theoretical model, confirming theoretical predictions of long-range coefficients. Our analysis shows that only the inclusion of both energies and Zeeman splittings provides an accurate description of the long-range interaction potentials.

DOI: 10.48550/arxiv.1306.6473

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arXiv:1306.6473

High accuracy photoassociation of $^{40}$ Ca near the ${^3P_1}+{^1S_0}$ asymptote and its Zeeman effectHigh accuracy photoassociation of $^{40}$Ca near the ${^3P_1}+{^1S_0}$ asymptote and its Zeeman effect

Max Kahmann, E. Tiemann, Appel, Oliver, Uwe Sterr, F. Riehle

Published Jun 27, 2013• 0 citations

arXiv HTML PDF

Abstract

We report on the first measurement of narrow photoassociation lines of

^{40}

Ca near the

{^3P_1}+{^1S_0}

asymptote related to the molecular states

^3Π_u

and

^3Σ^+_u

. The highly accurate binding energies and Zeeman splittings are well described by a coupled channel theoretical model, confirming theoretical predictions of long-range coefficients. Our analysis shows that only the inclusion of both energies and Zeeman splittings provides an accurate description of the long-range interaction potentials.

DOI: 10.48550/arxiv.1306.6473

Related papers

Photoassociation spectroscopy of Ca40 measured with kilohertz accuracy near the 3P1+1S0 asymptote and its Zeeman effect

Max Kahmann, E. Tiemann, Oliver Appel +2 more

We report on measurements of narrow photoassociation lines of $^{40}\mathrm{Ca}$ near the ${}^{3}{P}_{1}$ + ${}^{1}{S}_{0}$ asymptote related to the molecular states ${}^{3}{\ensuremath{\Pi}}_{u}$ and ${}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ at about 1 $\ensuremath{\mu}$K. From the measured binding energies an accurate description of the long-range interaction potentials was obtained; it was found to be crucial to also include the precisely measured molecular Zeeman splittings. Our analysis is a first step towards application of optical Feshbach resonances in $^{40}\mathrm{Ca}$ to modify the scattering length significantly with small losses.We report on measurements of narrow photoassociation lines of $^{40}\mathrm{Ca}$ near the ${}^{3}{P}_{1}$ + ${}^{1}{S}_{0}$ asymptote related to the molecular states ${}^{3}{\ensuremath{\Pi}}_{u}$ and ${}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ at about 1 $\ensuremath{\mu}$K. From the measured binding energies an accurate description of the long-range interaction potentials was obtained; it was found to be crucial to also include the precisely measured molecular Zeeman splittings. Our analysis is a first step towards application of optical Feshbach resonances in $^{40}\mathrm{Ca}$ to modify the scattering length significantly with small losses.

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Narrow Line Photoassociation in an Optical Lattice

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With ultracold 88Sr in a 1D magic wavelength optical lattice, we performed narrow-line photoassociation spectroscopy near the 1S0 - 3P1 intercombination transition. Nine least-bound vibrational molecular levels associated with the long-range 0u and 1u potential energy surfaces were measured and identified. A simple theoretical model accurately describes the level positions and treats the effects of the lattice confinement on the line shapes. The measured resonance strengths show that optical tuning of the ground state scattering length should be possible without significant atom loss.With ultracold 88Sr in a 1D magic wavelength optical lattice, we performed narrow-line photoassociation spectroscopy near the 1S0 - 3P1 intercombination transition. Nine least-bound vibrational molecular levels associated with the long-range 0u and 1u potential energy surfaces were measured and identified. A simple theoretical model accurately describes the level positions and treats the effects of the lattice confinement on the line shapes. The measured resonance strengths show that optical tuning of the ground state scattering length should be possible without significant atom loss.

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Joshua C. Hill, William Huie, P. Lunia +4 more

We demonstrate photoassociation (PA) of ultracold fermionic $^{87}\mathrm{Sr}$ atoms. The binding energies of a series of molecular states on the $^{1}\mathrm{\ensuremath{\Sigma}}_{u}^{+}\phantom{\rule{4pt}{0ex}}5{s}^{2}\phantom{\rule{0.16em}{0ex}}^{1}S_{0}+5s5p\phantom{\rule{0.16em}{0ex}}^{1}P_{1}$ molecular potential are fit with the semiclassical LeRoy-Bernstein model, and PA resonance strengths are compared to predictions based on the known $^{1}S_{0}+^{1}S_{0}$ ground-state potential. Similar measurements and analysis were performed for the bosonic isotopes $^{84}\mathrm{Sr}$ and $^{86}\mathrm{Sr}$ , allowing a combined analysis of the long-range portion of the excited-state potential and determination of the $5s5p\phantom{\rule{0.16em}{0ex}}^{1}P_{1}$ atomic state lifetime of $5.20\ifmmode\pm\else\textpm\fi{}0.02\phantom{\rule{0.16em}{0ex}}\mathrm{ns}$. The results enable prediction of PA rates across a wide range of experimental conditions.We demonstrate photoassociation (PA) of ultracold fermionic $^{87}\mathrm{Sr}$ atoms. The binding energies of a series of molecular states on the $^{1}\mathrm{\ensuremath{\Sigma}}_{u}^{+}\phantom{\rule{4pt}{0ex}}5{s}^{2}\phantom{\rule{0.16em}{0ex}}^{1}S_{0}+5s5p\phantom{\rule{0.16em}{0ex}}^{1}P_{1}$ molecular potential are fit with the semiclassical LeRoy-Bernstein model, and PA resonance strengths are compared to predictions based on the known $^{1}S_{0}+^{1}S_{0}$ ground-state potential. Similar measurements and analysis were performed for the bosonic isotopes $^{84}\mathrm{Sr}$ and $^{86}\mathrm{Sr}$, allowing a combined analysis of the long-range portion of the excited-state potential and determination of the $5s5p\phantom{\rule{0.16em}{0ex}}^{1}P_{1}$ atomic state lifetime of $5.20\ifmmode\pm\else\textpm\fi{}0.02\phantom{\rule{0.16em}{0ex}}\mathrm{ns}$. The results enable prediction of PA rates across a wide range of experimental conditions.

arXiv:2011.11936Physical Review AFeb 17, 20211 citation

High accuracy photoassociation of

^{40}

Ca near the

{^3P_1}+{^1S_0}

asymptote and its Zeeman effect

We report on the first measurement of narrow photoassociation lines of

^{40}

Ca near the

{^3P_1}+{^1S_0}

asymptote related to the molecular states

^3Π_u

and

^3Σ^+_u

We report on measurements of narrow photoassociation lines of

^{40}\mathrm{Ca}

near the

{}^{3}{P}_{1}

{}^{1}{S}_{0}

asymptote related to the molecular states ${}^{3}{\ensuremath{\Pi}}_{u}$ and ${}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ at about 1 $\ensuremath{\mu}$K. From the measured binding energies an accurate description of the long-range interaction potentials was obtained; it was found to be crucial to also include the precisely measured molecular Zeeman splittings. Our analysis is a first step towards application of optical Feshbach resonances in

^{40}\mathrm{Ca}

to modify the scattering length significantly with small losses.

We present calculations of the Zeeman effect of narrow photoassociation lines of

^{40}\mathrm{Ca}

near the

^{3}P_{1}+^{1}S_{0}

asymptote. Using a coupled-channel model we find a nonlinear Zeeman effect that even at low fields of a few mT amounts to several kHz. With this model we analyze previous measurements and give corrected long-range dispersion coefficients of the $^{3}\mathrm{\ensuremath{\Pi}}_{u}$ and $^{3}\mathrm{\ensuremath{\Sigma}}_{u}^{+}$ states.

By two-color photoassociation of

^{40}\mathrm{Ca}

four weakly bound vibrational levels in the ${\mathrm{Ca}}_{2} X{\phantom{\rule{0.16em}{0ex}}}^{1}{\mathrm{\ensuremath{\Sigma}}}_{g}^{+}$ ground-state potential were measured, using highly spin-forbidden transitions to intermediate states of the coupled system ${^{3}\mathrm{\ensuremath{\Pi}}}_{u}$ and ${^{3}\mathrm{\ensuremath{\Sigma}}}_{u}^{+}$ near the

{^{3}P}_{1}+{^{1}S}_{0}

asymptote. From the observed binding energies, including the least bound state, the long-range dispersion coefficients

{\mathrm{C}}_{6},{\mathrm{C}}_{8},{\mathrm{C}}_{10}

and a precise value for the

s

-wave scattering length of 308.5(50)

{a}_{0}

were derived. From mass scaling we also calculated the corresponding scattering length for other natural isotopes. From the Autler-Townes splitting of the spectra, the molecular Rabi frequency has been determined as a function of the laser intensity for one bound-bound transition. The observed value for the Rabi frequency is in good agreement with calculated transition moments based on the derived potentials, assuming a dipole moment being independent of internuclear separation for the atomic pair model.

We demonstrate photoassociation (PA) of ultracold fermionic

^{87}\mathrm{Sr}

atoms. The binding energies of a series of molecular states on the $^{1}\mathrm{\ensuremath{\Sigma}}_{u}^{+}\phantom{\rule{4pt}{0ex}}5{s}^{2}\phantom{\rule{0.16em}{0ex}}^{1}S_{0}+5s5p\phantom{\rule{0.16em}{0ex}}^{1}P_{1}$ molecular potential are fit with the semiclassical LeRoy-Bernstein model, and PA resonance strengths are compared to predictions based on the known

^{1}S_{0}+^{1}S_{0}

ground-state potential. Similar measurements and analysis were performed for the bosonic isotopes

^{84}\mathrm{Sr}

and

^{86}\mathrm{Sr}

, allowing a combined analysis of the long-range portion of the excited-state potential and determination of the

5s5p\phantom{\rule{0.16em}{0ex}}^{1}P_{1}

atomic state lifetime of $5.20\ifmmode\pm\else\textpm\fi{}0.02\phantom{\rule{0.16em}{0ex}}\mathrm{ns}$. The results enable prediction of PA rates across a wide range of experimental conditions.