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

TL;DR

This paper employs an effective-field-theory approach to analyze Efimov physics in heteronuclear ultracold atomic mixtures, incorporating finite-range corrections and deriving universal relations for experimental observables.

Contribution

It introduces next-to-leading order corrections in effective-field-theory for heteronuclear Efimov systems, including finite-range effects, and establishes universal relations connecting Efimov features.

Findings

Derived universal relations for Efimov features near Feshbach resonances.

Included finite-range and intraspecies scattering effects at next-to-leading order.

Predicted recombination observables for experimentally relevant atomic systems.

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.