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Physical Review A

Hyperfine structure of weakly bound levels in the lowest 1g state of molecular 87Rb2

Chin‐Chun Tsai, T. H. Bergeman, Eite Tiesinga, Paul S. Julienne, Daniel J. Heinzen

Published Nov 13, 2013• 0 citations
Publisher
DOI
10.1002/10.1103/physreva.88.052509

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Photoassociation resonances in the 87{}^{87}87Rb2{}_{2}2​ 1g{1}_{g}1g​ state dissociating to 52S+52P1/25{\phantom{\rule{0.16em}{0ex}}}^{2}S+5{}^{2}{P}_{1/2}52S+52P1/2​ were produced by the excitation of colliding 87{}^{87}87Rb atoms in a far-off resonance trap. Levels down to 31 cm${}^{\ensuremath{-}1}$ below the dissociation limit were measured with resonance linewidths of 15 to 20 MHz, and have been located to a one-sigma combined systematic and statistical uncertainty of 50 MHz relative to the 52S+52P1/25{\phantom{\rule{0.16em}{0ex}}}^{2}S+5{}^{2}{P}_{1/2}52S+52P1/2​ limit. Electron and nuclear spins were fixed to a space-fixed axis by circularly polarized optical pumping, so that only states with total nuclear spin I=3I=3I=3 were excited, thereby greatly simplifying the spectrum. The analysis of the data yielded hyperfine coupling parameters A(v)A(v)A(v), vibrational G(v)G(v)G(v), and rotational B(v)B(v)B(v) parameters. The G(v)G(v)G(v) parameters could be fit to an rms accuracy of about 0.01 cm${}^{\ensuremath{-}1}$ to a potential constructed from current C3{C}_{3}C3​ and C6{C}_{6}C6​ long-range dispersion parameters plus an ab initio potential that was adjusted in depth and with quadratic terms in the internuclear distance added to the inner wall.
In this thesis I report precision spectroscopy with ultracold 87Rb2 triplet molecules where we use lasers to couple the states in different molecular potentials. We study in detail the lowest triplet states of Rb2. These states are of great importance for transferring weakly bound molecules to the ro-vibrational triplet ground state via states of the excited potential. As most experiments start from molecules in their singlet ground state, the triplet states were hard to access via dipole transitions and remained largely unexplored. The measurements presented in this thesis are the first detailed study of diatomic 87Rb2 molecules in these states.
We report a detailed molecular spectroscopy study of the lowest excited electronic states of 23Na87Rb^{23}\mathrm{Na}\phantom{\rule{0.16em}{0ex}}^{87}\mathrm{Rb}23Na87Rb for producing ultracold 23Na87Rb^{23}\mathrm{Na}\phantom{\rule{0.16em}{0ex}}^{87}\mathrm{Rb}23Na87Rb molecules in the electronic, rovibrational, and hyperfine ground state. Starting from weakly bound Feshbach molecules, a series of vibrational levels of the $A{\phantom{\rule{0.16em}{0ex}}}^{1}{\mathrm{\ensuremath{\Sigma}}}^{+}\text{\ensuremath{-}}b{\phantom{\rule{0.16em}{0ex}}}^{3}\mathrm{\ensuremath{\Pi}}$ coupled excited states is investigated. After resolving, modeling, and interpreting the hyperfine structure of several lines, we successfully identify a long-lived level resulting from the accidental hyperfine coupling between the 0+{0}^{+}0+ and ${0}^{\ensuremath{-}}$ components of the $b{\phantom{\rule{0.16em}{0ex}}}^{3}\mathrm{\ensuremath{\Pi}}$ state, satisfying all the requirements for the population transfer toward the lowest rovibrational level of the $X{\phantom{\rule{0.16em}{0ex}}}^{1}{\mathrm{\ensuremath{\Sigma}}}^{+}$ state. Using two-photon spectroscopy, its binding energy is measured to be 4977.308(3) ${\mathrm{cm}}^{\ensuremath{-}1}$. We calibrate all the transition strengths carefully and also demonstrate Raman transfer of Feshbach molecules to the absolute ground state.