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We find that universal three-body physics extends beyond the threshold regime to non-zero energies. For ultracold atomic gases with a negative two-body $s$-wave scattering length near a Feshbach resonance, we show the resonant peaks…

Atomic Physics · Physics 2015-03-17 Yujun Wang , B. D. Esry

We study Efimov physics of three identical bosons with pairwise multichannel interactions for Feshbach resonances of adjustable width. We find that the two-body multichannel nature of the interaction can affect the universal three-body…

Quantum Gases · Physics 2021-05-12 T. Secker , D. J. M. Ahmed-Braun , P. M. A. Mestrom , S. J. J. M. F. Kokkelmans

Efimov states are a sequence of shallow three-body bound states that arise when the two-body scattering length is much larger than the range of the interaction. The binding energies of these states are described as a function of the…

Quantum Gases · Physics 2019-06-18 M. Gattobigio , M. Göbel , H. -W. Hammer , A. Kievsky

An effective field theory developed for systems interacting through short-range interactions can be applied to systems of cold atoms with a large scattering length and to nucleons at low energies. It is therefore the ideal tool to analyze…

Nuclear Theory · Physics 2013-09-09 L. Platter

In recent years extensive theoretical and experimental studies of universal few-body physics have led to advances in our understanding of universal Efimov physics [1]. The Efimov effect, once considered a mysterious and esoteric effect, is…

Quantum Gases · Physics 2015-06-03 Jia Wang , J. P. D'Incao , B. D. Esry , Chris H. Greene

We apply a field-theoretic functional renormalization group technique to the few-body (vacuum) physics of non-relativistic atoms near a Feshbach resonance. Three systems are considered: one-component bosons with U(1) symmetry, two-component…

Statistical Mechanics · Physics 2009-04-14 S. Moroz , S. Floerchinger , R. Schmidt , C. Wetterich

Recent measurements of Efimov resonances in a number of ultracold atom species have revealed an unexpected universality, in which three-body scattering properties are determined by the van der Waals length of the two-body interaction…

Quantum Gases · Physics 2013-09-12 Ruth S. Bloom , Ming-Guang Hu , Tyler D. Cumby , Deborah S. Jin

In this paper we discuss the recent discovery of the universality of the three-body parameter (3BP) from Efimov physics. This new result was identified by recent experimental observations in ultracold quantum gases where the value of the…

Quantum Gases · Physics 2015-06-12 J. P. D'Incao , J. Wang , B. D. Esry , C. H. Greene

We analyse the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body…

Quantum Gases · Physics 2023-09-15 J. van de Kraats , D. J. M. Ahmed-Braun , J. -L. Li , S. J. J. M. F. Kokkelmans

Two-, three-, and four-boson systems are studied close to the unitary limit using potential models constructed to reproduce the minimal information given by the two-body scattering length $a$ and the two-body binding energy or virtual state…

Quantum Gases · Physics 2016-06-08 R. Álvarez-Rodríguez , A. Deltuva. M. Gattobigio , A. Kievsky

Efimov effect is characterized by an infinite number of three-body bound states following a universal geometric scaling law at two-body resonances. In this paper, we investigate the influence of two-body loss which can be described by a…

Quantum Gases · Physics 2024-09-27 Mingyuan Sun , Chang Liu , Zhe-Yu Shi

We investigate universal behavior in elastic atom-dimer scattering below the dimer breakup threshold calculating the atom-dimer effective-range function $ak\cot\delta$. Using the He-He system as a reference, we solve the Schr\"odinger…

Quantum Gases · Physics 2013-06-10 A. Kievsky , M. Gattobigio

Three-boson Efimov physics is well known in the bound-state regime, but far less in the three-particle continuum at negative two-particle scattering length where Efimov states evolve into resonances. They are studied solving rigorous…

Quantum Gases · Physics 2021-02-01 A. Deltuva

It is well-known that three-boson systems show the Efimov effect when the two-body scattering length $a$ is large with respect to the range of the two-body interaction. This effect is a manifestation of a discrete scaling invariance (DSI).…

Quantum Gases · Physics 2015-06-19 A. Kievsky , M. Gattobigio , N. K. Timofeyuk

Physical systems with a large scattering length have universal properties independent of the details of the interaction at short distances. Such systems can be realized in experiments with cold atoms close to a Feshbach resonance. They also…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer

We discuss the impact of a finite effective range on three-body systems interacting through a large two-body scattering length. By employing a perturbative analysis in an effective field theory well suited to this scale hierarchy we find…

Quantum Gases · Physics 2015-05-18 C. Ji , L. Platter , D. R. Phillips

We consider either 3 spinless bosons or 3 equal mass spin-1/2 fermions, interacting via a short range potential of infinite scattering length and trapped in an isotropic harmonic potential. For a zero-range model, we obtain analytically the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin

The study of Efimov features and their relationships in $^{40}$K-$^{87}$Rb Mixtures has generated extensive discussion, yet the discrepancy between Efimov universality predictions based on the zero-range approximation and experimental…

Atomic Physics · Physics 2025-03-11 Ning-Ning Gao , Hui-Li Han , Ting-Yun Shi

The Efimov effect is the only experimentally realized universal phenomenon that exhibits the renormalization-group limit cycle with the three-body parameter parametrizing a family of universality classes. Recent experiments in ultracold…

Quantum Gases · Physics 2015-01-20 Yusuke Horinouchi , Masahito Ueda

We perform precise studies of two- and three-body interactions near an intermediate-strength Feshbach resonance in $^{39}\mathrm{K}$ at $33.5820(14)\thinspace$G. Precise measurement of dimer binding energies, spanning three orders of…