Efimov-van-der-Waals universality for ultracold atoms with positive scattering lengths

Abstract

We study the universality of the three-body parameters for systems relevant for ultracold quantum gases with positive $s$-wave two-body scattering lengths. Our results account for finite-range effects and their universality is tested by changing the number of deeply bound diatomic states supported by our interaction model. We find that the physics controlling the values of the three-body parameters associated with the ground and excited Efimov states is constrained by a variational principle and can be strongly affected by $d$-wave interactions that prevent both trimer states from merging into the atom-dimer continuum. Our results enable comparisons to current experimental data and they suggest tests of universality for atomic systems with{positive scattering lengths.

8 pages, 4 figures

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Cited by in corpus (24)

• Efimov Physics: a review
• Implementing the three-particle quantization condition including higher partial waves
• Few-body physics in resonantly interacting ultracold quantum gases
• Universal Scaling Laws in the Dynamics of a Homogeneous Unitary Bose Gas
• Observation of Efimov molecules created from a resonantly interacting Bose gas
• Precision Test of the Limits to Universality in Few-Body Physics
• Observation of Efimov Universality across a Non-Universal Feshbach Resonance in \textsuperscript{39}K
• Pinpointing Feshbach Resonances and Testing Efimov Universalities in ${}^{39}$K
• Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
• Three-body recombination near a narrow Feshbach resonance in ${}^6$Li
• Finite-range effects in Efimov physics beyond the separable approximation
• Quantum unbinding near a zero temperature liquid-gas transition
• Reshaped Three-Body Interactions and the Observation of an Efimov State in the Continuum
• A coherent superposition of Feshbach dimers and Efimov trimers
• Van der Waals universality in homonuclear atom-dimer elastic collisions
• Photoassociative Spectroscopy of a Halo Molecule in ${}^{86}$Sr
• A multichannel hyperspherical model for Efimov physics with van der Waals interactions controlled by a Feshbach resonance
• Universality of Efimov states in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Efficient three-body calculations with a two-body mapped grid method
• Neutron-${}^{19}\mathrm{C}$ scattering: Towards including realistic interactions
• Asymmetric lineshapes of Efimov resonances in mass-imbalanced ultracold gases
• Van der Waals five-body size-energy universality
• Density effects on the interferometry of Efimov states by modulating magnetic fields
• Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance