Precision Test of the Limits to Universality in Few-Body Physics

Abstract

We perform precise studies of two- and three-body interactions near an intermediate-strength Feshbach resonance in ${}^{39}\mathrm{K}$ at $33.5820(14)$G. Precise measurement of dimer binding energies, spanning three orders of magnitude, enables the construction of a complete two-body coupled-channel model for determination of the scattering lengths with an unprecedented low uncertainty. Utilizing an accurate scattering length map, we measure the precise location of the Efimov ground state to test van der Waals universality. Precise control of the sample's temperature and density ensures that systematic effects on the Efimov trimer state are well understood. We measure the ground Efimov resonance location to be at $-14.05(17)$ times the van der Waals length $r_{\mathrm{vdW}}$, significantly deviating from the value of $-9.7r_{\mathrm{vdW}}$ predicted by van der Waals universality. We find that a refined multichannel three-body model, built on our measurement of two-body physics, can account for this difference and even successfully predict the Efimov inelasticity parameter $\eta$.

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Cited by in corpus (41)

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• Observation of unitary p-wave interactions between fermions in an optical lattice
• Three-body recombination in physical chemistry
• Pinpointing Feshbach Resonances and Testing Efimov Universalities in ${}^{39}$K
• Van der Waals universality near a quantum tricritical point
• The multichannel nature of three-body recombination for ultracold ${}^{39}$K
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• Multichannel effects in the Efimov regime from broad to narrow Feshbach resonances
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• Reshaped Three-Body Interactions and the Observation of an Efimov State in the Continuum
• Strong spin-exchange recombination of three weakly interacting ${}^7$Li atoms
• Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing
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• The van der Waals interaction as the starting point for an effective field theory
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• Efficient three-body calculations with a two-body mapped grid method
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