An effective-field-theory analysis of Efimov physics in heteronuclear mixtures of ultracold atomic gases

Abstract

We use an effective-field-theory framework to analyze the Efimov effect in heteronuclear three-body systems consisting of two species of atoms with a large interspecies scattering length. In the leading-order description of this theory, various three-body observables in heteronuclear mixtures can be universally parameterized by one three-body parameter. We present the next-to-leading corrections, which include the effects of the finite interspecies effective range and the finite intraspecies scattering length, to various three-body observables. We show that only one additional three-body parameter is required to render the theory predictive at this order. By including the effective range and intraspecies scattering length corrections, we derive a set of universal relations that connect the different Efimov features near the interspecies Feshbach resonance. Furthermore, we show that these relations can be interpreted in terms of the running of the three-body counterterms that naturally emerge from proper renormalization. Finally, we make predictions for recombination observables of a number of atomic systems that are of experimental interest.

peer-reviewed and edited version, errors fixed

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• Role of the intraspecies scattering length in the Efimov scenario with large mass difference
• Atom-dimer scattering in heteronuclear mixture with finite intra-species scattering length
• Tetramer Bound States in Heteronuclear Systems
• Ultracold heteronuclear three-body systems: How diabaticity limits the universality of recombination into shallow dimers
• Efimov resonance position near a narrow Feshbach resonance in ${}^6$Li-${}^{133}$Cs mixture
• The Efimov effect for heteronuclear three-body systems at positive scattering length and finite temperature
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order