Mass scaling and non-adiabatic effects in photoassociation spectroscopy of ultracold strontium atoms

Abstract

We report photoassociation spectroscopy of ultracold ${}^{86}$Sr atoms near the intercombination line and provide theoretical models to describe the obtained bound state energies. We show that using only the molecular states correlating with the ${}^1{S}_0$$+$${}^3{P}_1$ asymptote is insufficient to provide a mass scaled theoretical model that would reproduce the bound state energies for all isotopes investigated to date: ${}^{84}$Sr, ${}^{86}$Sr and ${}^{88}$Sr. We attribute that to the recently discovered avoided crossing between the ${}^1{S}_0$$+$${}^3{P}_1$ $0_u^{+}$ (${}^3{\Pi }_u$) and ${}^1{S}_0$$+$${}^1{D}_2$ $0_u^{+}$ (${}^1{\Sigma }_u^{+}$) potential curves at short range and we build a mass scaled interaction model that quantitatively reproduces the available $0_u^{+}$ and $1_u$ bound state energies for the three stable bosonic isotopes. We also provide isotope-specific two-channel models that incorporate the rotational (Coriolis) mixing between the $0_u^{+}$ and $1_u$ curves which, while not mass scaled, are capable of quantitatively describing the vibrational splittings observed in experiment. We find that the use of state-of-the-art ab initio potential curves significantly improves the quantitative description of the Coriolis mixing between the two -8 GHz bound states in ${}^{88}$Sr over the previously used model potentials. We show that one of the recently reported energy levels in ${}^{84}$Sr does not follow the long range bound state series and theorize on the possible causes. Finally, we give the Coriolis mixing angles and linear Zeeman coefficients for all of the photoassociation lines. The long range van der Waals coefficients $C_6(0_u^{+})=3868(50)$~a.u. and $C_6(1_u)=4085(50)$~a.u. are reported.

arXiv comment14 pages, 7 tables, 5 figures. Submitted to Phys. Rev. A

References in corpus (38)

• Feshbach Resonances in Ultracold Gases
• Tuning the scattering length with an optically induced Feshbach resonance
• Influence of nearly resonant light on the scattering length in low-temperature atomic gases
• Bose-Einstein Condensation of Strontium
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Degenerate Fermi Gas of ${}^{87}$Sr
• Enhanced sensitivity to variation of $m_e/m_p$ in molecular spectra
• Laser cooling to quantum degeneracy
• Blackbody radiation shift in the Sr optical atomic clock
• Systematic study of Optical Feshbach Resonances in an ideal gas
• Inducing an optical Feshbach resonance via stimulated Raman coupling
• Quantum degenerate mixtures of strontium and rubidium atoms
• Creation of ultracold Sr2 molecules in the electronic ground state
• Controlling Condensate Collapse and Expansion with an Optical Feshbach Resonance
• Optical tuning of the scattering length of cold alkaline earth atoms
• Narrow Line Photoassociation in an Optical Lattice
• Two-photon photoassociative spectroscopy of ultracold 88-Sr
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Magnetic trapping of metastable ${}^3{P}_2$ atomic strontium
• Optical Production of Stable Ultracold ${}^{88}$Sr${}_2$ Molecules
• The ^1S+^1S asymptote of Sr_2 studied by Fourier-transform spectroscopy
• Rovibrational dynamics of the strontium molecule in the A^1Σ_u^+, c^3Π_u, and a^3Σ_u^+ manifold from state-of-the-art ab initio calculations
• Spectroscopic determination of the s-wave scattering lengths of 86Sr and 88Sr
• Scattering lengths in isotopologues of the RbYb system
• Fourier-transform spectroscopy of Sr2 and revised ground state potential
• Photoassociation spectroscopy of cold alkaline earth atoms near the intercombination line
• Bose-Einstein Condensation of ${}^{88}$Sr Through Sympathetic Cooling with ${}^{87}$Sr
• Controlled Production of Sub-Radiant States of a Diatomic Molecule in an Optical Lattice
• Prospects for application of ultracold Sr${}_2$ molecules in precision measurements
• Bose-Einstein condensation of 86Sr
• Formation of ultracold SrYb molecules in an optical lattice by photoassociation spectroscopy: theoretical prospects
• Cooling of Sr to high phase-space density by laser and sympathetic cooling in isotopic mixtures
• Rabi Oscillations between Atomic and Molecular Condensates Driven with Coherent One-Color Photoassociation
• Nonadiabatic Effects in Ultracold Molecules via Anomalous Linear and Quadratic Zeeman Shifts
• Formation of deeply bound ultracold Sr_2 molecules by photoassociation near the ^1S + ^3P_1 intercombination line
• The states 1^1Σ^+_u, 1^1Π_u and 2^1Σ^+_u of Sr_2 studied by Fourier-transform spectroscopy
• Study of coupled states for the (4s^{2})^{1}S + (4s4p)^{3}P asymptote of Ca_{2}
• Numerical modeling of collisional dynamics of Sr in an optical dipole trap

Cited by in corpus (24)

• Photodissociation of ultracold diatomic strontium molecules with quantum state control
• Isotope-shift spectroscopy of the ${}^1{S}_0\to {}^3{P}_1$ and ${}^1{S}_0\to {}^3{P}_0$ transitions in strontium
• Lifetimes of ultra-long-range strontium Rydberg molecules
• A steady-state magneto-optical trap with 100 fold improved phase-space density
• The RbSr ${}^2{\Sigma }^{+}$ ground state investigated via spectroscopy of hot & ultracold molecules
• Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics
• High-precision spectroscopy of ultracold molecules in an optical lattice
• Production of ultracold Cs*Yb molecules by photoassociation
• Ultracold ${}^{88}{\mathrm{Sr}}_2$ molecules in the absolute ground state
• Control of Optical Transitions with Magnetic Fields in Weakly Bound Molecules
• Prospects for Polar Molecular Ion Optical Probe of Varying Proton-Electron Mass Ratio
• Transition strength measurements to guide magic wavelength selection in optically trapped molecules
• Relativistic calculations of $C_6$ and $C_8$ coefficients for strontium dimers
• Crossover from the Ultracold to the Quasiclassical Regime in State-Selected Photodissociation
• Control of Ultracold Photodissociation with Magnetic Fields
• Observation of Bose-enhanced photoassociation products
• Photoassociative Spectroscopy of a Halo Molecule in ${}^{86}$Sr
• Photoassociation spectroscopy of ultracold ${}^{173}$Yb atoms near the intercombination line
• Experimental and Theoretical Investigation of the Crossover from the Ultracold to the Quasiclassical Regime of Photodissociation
• Coherent Three-Photon Excitation of the Strontium Clock Transition
• Searching for New Fundamental Interactions via Isotopic Shifts in Molecular Lattice Clocks
• High-intensity two-frequency photoassociation spectroscopy of a weakly bound molecular state: theory and experiment
• Photoassociation of spin polarized Chromium
• Photoassociative Spectroscopy of ${}^{87}$Sr