Potassium ground state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy

Abstract

We present precision measurements with MHz uncertainty of the energy gap between asymptotic and well bound levels in the electronic ground state X ${}^1{\Sigma }_{\mathrm{g}}^{+}$ of the ${}^{39}$K${}_2$ molecule. The molecules are prepared in a highly collimated particle beam and are interrogated in a $\Lambda$-type excitation scheme of optical transitions to long range levels close to the asymptote of the ground state, using the electronically excited state A ${}^1{\Sigma }_{\mathrm{u}}^{+}$ as intermediate one. The transition frequencies are measured either by comparison with I${}_2$ lines or by absolute measurements using a fs-frequency comb. The determined level energies were used together with Feshbach resonances from cold collisions of ${}^{39}$K and ${}^{40}$K reported from other authors to fit new ground state potentials. Precise scattering lengths are determined and tests of the validity of the Born-Oppenheimer approximation for the description of cold collisions at this level of precision are performed.

14 pages, 4 figures, 8 tables

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• Feshbach resonances in potassium Bose-Bose mixtures
• Dipolar and spinor bosonic systems
• Precision Test of the Limits to Universality in Few-Body Physics
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• One-dimensional three-boson problem with two- and three-body interactions
• Contrasting the wide Feshbach resonances in ${}^6$Li and ${}^7$Li
• Quantum phase transition in Bose-Fermi mixtures
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Long-lived complexes and signatures of chaos in ultracold K2+Rb collisions
• Observation of Efimov Universality across a Non-Universal Feshbach Resonance in \textsuperscript{39}K
• Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics
• Effective-range approximations for resonant scattering of cold atoms
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• Observation of unitary p-wave interactions between fermions in an optical lattice
• Pinpointing Feshbach Resonances and Testing Efimov Universalities in ${}^{39}$K
• Production of large ${}^{41}$K Bose-Einstein condensates using D1 gray molasses
• Direct evaporative cooling of 41K into a Bose-Einstein condensate
• High Sensitivity RF Spectroscopy of a Strongly-Interacting Fermi Gas
• Feshbach resonances, molecular bound states and prospects of ultracold molecule formation in mixtures of ultracold K and Cs
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• Probing open- and closed-channel p-wave resonances
• Isotopic shift of atom-dimer Efimov resonances in K-Rb mixtures: Critical effect of multichannel Feshbach physics
• Feshbach Loss Spectroscopy in an Ultracold ${}^{23}$Na and ${}^{40}$K Mixture
• Beyond Born-Oppenheimer approximation in ultracold atomic collisions
• Multiple scattering dynamics of fermions at an isolated p-wave resonance
• The multichannel nature of three-body recombination for ultracold ${}^{39}$K
• Correlated Spin-Flip Tunneling in a Fermi Lattice Gas
• Ultracold Feshbach molecules in an orbital optical lattice
• Stability of low-dimensional multicomponent Bose gases
• Investigation of Feshbach Resonances in ultra-cold 40 K spin mixtures
• Acetylene-based frequency stabilization of a laser system for potassium laser cooling
• Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing
• Collision of impurities with Bose-Einstein condensates
• Efimovian three-body potential from broad to narrow Feshbach resonances
• Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length
• Orbital angular momentum interference of trapped matter waves
• Goldstino spectrum in an ultracold Bose-Fermi mixture with explicitly broken supersymmetry
• Time-dependent condensation of bosonic potassium
• Inelastic collisions in radiofrequency-dressed mixtures of ultracold atoms
• Probing Goldstino excitation through the tunneling transport in a Bose-Fermi mixture with explicitly broken supersymmetry
• Rotational properties of superfluid Fermi-Bose mixtures in a tight toroidal trap
• Inelastic losses in radiofrequency-dressed traps for ultracold atoms
• Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach
• Dimer-projection contact and the clock shift of a unitary Fermi gas
• Quantum Monte Carlo study of few- and many-body Bose systems in one and two dimensions
• Scaling Laws Governing the Collapse of a Bose-Einstein Condensate