arXiv:1506.04004 · Physical Review A

Nonlinear Zeeman effect in photoassociation spectra of Ca40 near the P13+S01 asymptote

E. Tiemann, Max Kahmann, Evgenij Pachomow, F. Riehle, Uwe Sterr

Published Aug 20, 2015• 2 citations

Abstract

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.

DOI: 10.1103/physreva.92.023419

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arXiv:1506.04004 · Physical Review A

Nonlinear Zeeman effect in photoassociation spectra of Ca40 near the P13+S01 asymptote

E. Tiemann, Max Kahmann, Evgenij Pachomow, F. Riehle, Uwe Sterr

Published Aug 20, 2015• 2 citations

arXiv HTML PDF

Abstract

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.

DOI: 10.1103/physreva.92.023419

Related papers

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 +2 more

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.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.

arXiv:1306.6473Jun 27, 20130 citations

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

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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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Photoassociation spectroscopy of lattice-trapped Yb171 atoms near the S01−P13 (f=1/2) intercombination line

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Masami Yasuda, T. Kishimoto, Masao Takamoto +1 more

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Physical Review AJan 27, 200673 citations

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

^{40}\mathrm{Ca}

near the

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

^{3}\mathrm{\ensuremath{\Pi}}_{u}

and

^{3}\mathrm{\ensuremath{\Sigma}}_{u}^{+}

states.

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

. 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.

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.

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 report on the photoassociation (PA) spectroscopy of cold

^{171}\mathrm{Yb}

atoms in a one-dimensional optical lattice. The PA spectral lines correlating to the

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

(f=1/2)

state are observed experimentally. High accuracy and narrow atom-loss spectra are measured ranging up to about 1.2 GHz red detuning with respect to the atomic resonance. The main systematic frequency shifts of the PA transitions are determined with total uncertainties less than 100 kHz, which is more accurate than previous similar experimental results. We determine the initial scattering state of the PA spectra by comparing the spectra with polarized and unpolarized atomic samples. By comparatively analyzing theoretical results calculated based on an adiabatic molecular potential with experimental data, the excited molecular potentials corresponding to the spectral lines are clarified. The precision measurement of the narrow PA spectra plays an important role in exploring atomic interactions and lays the groundwork for the study of cold ytterbium molecules.

Photoassociation spectroscopy experiments on

{}^{40}\mathrm{Ca}

atoms close to the dissociation limit ${4s4s}^{1}{S}_{0}\ensuremath{-}{4s4p}^{1}{P}_{1}$ are presented. The vibronic spectrum was measured for detunings of the photoassociation laser ranging from 0.6 to 68 GHz with respect to the atomic resonance. In contrast to previous measurements, the rotational splitting of the vibrational lines was fully resolved. Full quantum-mechanical numerical simulations of the photoassociation spectrum were performed which allowed us to put constraints on the possible range of the calcium scattering length between

{50a}_{0}

and

{300a}_{0}.

We have investigated photoassociation (PA) spectra of ultracold

^{88}\mathrm{Sr}

atoms near the

5{s}^{2}\phantom{\rule{0.2em}{0ex}}^{1}S_{0}+5s5p\phantom{\rule{0.2em}{0ex}}^{1}P_{1}

atomic asymptote. The intensity modulation of the PA lines was used to reconstruct the ground-state scattering wave function, whose last nodal point was determined to be

{r}_{0}=3.78(18)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}

. The PA lines also determined a precise lifetime of the

^{1}P_{1}

state to be

5.263(4)\phantom{\rule{0.3em}{0ex}}\mathrm{ns}