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We show that for ultra-cold neutral bosonic atoms held in a three-dimensional periodic potential or optical lattice, a Hubbard model with dominant, attractive three-body interactions can be generated. In fact, we derive that the effect of…

Quantum Gases · Physics 2016-05-04 Saurabh Paul , P. R. Johnson , Eite Tiesinga

Three magnetic-field induced heteronuclear Feshbach resonances were identified in collisions between bosonic 87Rb and fermionic 40K atoms in their absolute ground states. Strong inelastic loss from an optically trapped mixture was observed…

Soft Condensed Matter · Physics 2009-11-10 S. Inouye , J. Goldwin , M. L. Olsen , C. Ticknor , J. L. Bohn , D. S. Jin

The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$. We study this quantity for identical bosons that interact via a pairwise…

Atomic Physics · Physics 2019-11-25 P. M. A. Mestrom , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

Magnetic Feshbach resonances have allowed great success in the production of ultracold diatomic molecules from bi-alkali mixtures, but have so far eluded observation in mixtures of alkali and alkaline-earth-like atoms. Inelastic collisional…

We give a detailed and self-contained description of a recently developed theoretical and numerical method for the simulation of three identical bosonic alkali-metal atoms near a Feshbach resonance, where the Efimov effect is induced. The…

Quantum Gases · Physics 2024-09-18 J. van de Kraats , S. J. J. M. F. Kokkelmans

It is well-known that cold atoms near s-wave Feshbach resonances have universal properties that are insensitive to the short-range details of the interaction. What is less known is that atoms near higher partial wave Feshbach resonances…

Statistical Mechanics · Physics 2026-03-25 Shangguo Zhu , Shina Tan

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

A new narrow 3-atom loss resonance associated with an Efimov trimer crossing the 3-atom threshold has recently been discovered in a many-body system of ultracold 6Li atoms in the three lowest hyperfine spin states at a magnetic field near…

Quantum Gases · Physics 2015-03-13 Eric Braaten , H. -W. Hammer , Daekyoung Kang , Lucas Platter

We present an analysis of experimentally accessible magnetic Feshbach resonances in ultra-cold hetero-nuclear 85Rb-87Rb and 6Li-87Rb mixtures. Using recent experimental measurements of the triplet scattering lengths for 6Li-87Rb and…

Other Condensed Matter · Physics 2009-11-13 Z. Li , S. Singh , T. V. Tscherbul , K. W. Madison

Universality is a powerful concept in physics, allowing one to construct physical descriptions of systems that are independent of the precise microscopic details or energy scales. A prime example is the Fermi gas with unitarity limited…

Quantum Gases · Physics 2018-02-16 Shuhei M. Yoshida , Shimpei Endo , Jesper Levinsen , Meera M. Parish

The resonant profile of the rate coefficient for three-body recombination into a shallow dimer is investigated for mass-imbalanced systems. In the low-energy limit, three atoms collide with zero-range interactions, in a regime where the…

Quantum Gases · Physics 2025-11-26 P. Giannakeas , Chris H. Greene

This dissertation presents theoretical investigations of universality and finite-range corrections in few- and many-boson systems. The main focus is on ultra-cold atomic gases seen both from the three-body, many-body, and mean-field…

Quantum Gases · Physics 2009-08-07 Martin Thøgersen

We report the observation of a three-body recombination resonance in an ultracold gas of cesium atoms at a very large negative value of the $s$-wave scattering length. The resonance is identified as the second triatomic Efimov resonance,…

Quantum Gases · Physics 2015-06-22 Bo Huang , Leonid A. Sidorenkov , Rudolf Grimm , Jeremy M. Hutson

We consider the spectrum of two ultracold harmonically trapped atoms interacting via short-range interactions. The Green's function approach is used to unify the two and three dimensional cases. We derive criteria for the universality of…

Quantum Gases · Physics 2012-05-03 N. T. Zinner

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

We predict the resonance enhanced magnetic field dependence of atom-dimer relaxation and three-body recombination rates in a $^{87}$Rb Bose-Einstein condensate (BEC) close to 1007 G. Our exact treatments of three-particle scattering…

Other Condensed Matter · Physics 2007-05-23 G. Smirne , R. M. Godun , D. Cassettari , V. Boyer , C. J. Foot , T. Volz , N. Syassen , S. Dürr , G. Rempe , M. D. Lee , K. Goral , T. Koehler

Equal mass fermionic trimers with two different spin components near the unitary limit are shown to possess a universal van der Waals bound or resonance state near $s$-wave unitarity, when $p$-wave interactions are included between the…

Atomic Physics · Physics 2025-11-25 Yu-Hsin Chen , Chris H. Greene

Three-body collisions of ultracold identical Bose atoms under tight cylindrical confinement are analyzed. A Feshbach resonance in two-body collisions is described by a two-channel zero-range interaction. Elimination of the closed channel in…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky , A. Ben-Reuven , M. Olshanii

Compared to purely atomic collisions, ultracold molecular collisions potentially support a much larger number of Fano-Feshbach resonances due to the enormous number of ro-vibrational states available. In fact, for alkali-metal dimers we…

Atomic Physics · Physics 2012-10-19 Michael Mayle , Goulven Quéméner , Brandon P. Ruzic , John L. Bohn

In the vicinity of a narrow Feshbach resonances Efimov features are expected to be characterized by the resonance's properties rather than the van der Waals length of the interatomic potential. Although this theoretical prediction is…

Quantum Gases · Physics 2022-05-16 Ang Li , Yaakov Yudkin , Paul S. Julienne , Lev Khaykovich