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We solve the three-body bound state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero-range. The system displays the…

Quantum Gases · Physics 2013-06-21 M. T. Yamashita , F. F. Bellotti , T. Frederico , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We model two bosons in an optical lattice near a Feshbach or photoassociation resonance, focusing on the Bose-Hubbard model in one dimension. Whereas the usual atoms-only theory with a tunable scattering length yields one bound state for a…

Atomic Physics · Physics 2012-03-12 Jerome C. Sanders , Otim Odong , Juha Javanainen , Matt Mackie

We introduce a new member to the class of semisuper Efimov effects, where an infinite number of bound states emerge with their binding energies obeying the universal scaling law $E_n\sim e^{-2(\pi n/\gamma)^2}$ for sufficiently high…

Quantum Gases · Physics 2025-05-23 Yusuke Nishida

We study inelastic collisions in a pure, trapped sample of Feshbach molecules made of bosonic cesium atoms in the quantum halo regime. We measure the relaxation rate coefficient for decay to lower-lying molecular states and study the…

Other Condensed Matter · Physics 2008-07-22 F. Ferlaino , S. Knoop , M. Mark , M. Berninger , H. Schöbel , H. -C. Nägerl , R. Grimm

We study three-body collisions within ultracold mixtures with resonant interspecies $p$-wave interactions. Our results for the three-body effective interaction strength and decay rate are crucial towards understanding the stability and…

Quantum Gases · Physics 2021-06-02 P. M. A. Mestrom , V. E. Colussi , T. Secker , J. -L. Li , S. J. J. M. F. Kokkelmans

We study the properties of ultracold Fermi gases in a three-dimensional optical lattice when crossing a Feshbach resonance. By using a zero-temperature formalism, we show that three-body processes are enhanced in a lattice system in…

Other Condensed Matter · Physics 2007-05-23 Helmut G. Katzgraber , Aniello Esposito , Matthias Troyer

Scattering resonances are fundamental in science, spanning energy scales from stellar nuclear fusion to ultracold collisions. In ultracold quantum gases, magnetic Feshbach resonances have transformed quantum many-body research by enabling…

We perform extensive magnetic Feshbach spectroscopy of an ultracold mixture of fermionic 40K and bosonic 87Rb atoms. The magnetic-field locations of 14 interspecies resonances is used to construct a quantum collision model able to predict…

We experimentally measure, and theoretically analyze the three-atom recombination rate, $L_3$, around a narrow $s$ wave magnetic Feshbach resonance of $^6$Li-$^6$Li at 543.3 Gauss. By examining both the magnetic field dependence and…

Quantum Gases · Physics 2018-05-16 Jiaming Li , Ji Liu , Le Luo , Bo Gao

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

We investigate magnetically tunable Feshbach resonances between ultracold europium atoms and between europium and alkali-metal atoms using multichannel quantum scattering calculations. For ultracold gases of europium atoms both homonuclear…

Atomic Physics · Physics 2018-10-02 Klaudia Zaremba-Kopczyk , Piotr S. Żuchowski , Michał Tomza

We use a minimal zero-range model for describing the bound state spectrum of three-body states consisting of two Cesium and one Lithium atom. Using a broad Feshbach resonance model for the two-body interactions, we show that recent…

Quantum Gases · Physics 2015-03-06 N. T. Zinner , N. G. Nygaard

The lowest order constrained variational method [Phys. Rev. Lett. 88, 210403 (2002)] has been generalized for a dilute (in the sense that the range of interatomic potential is small compared with inter-particle spacing) uniform gas of…

Soft Condensed Matter · Physics 2007-05-23 Yeong E. Kim , Alexander L. Zubarev

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang

We report the creation of an ultracold gas of bosonic $^{39}$K$^{133}$Cs molecules. We first demonstrate a cooling strategy relying on sympathetic cooling of $^{133}$Cs to produce an ultracold mixture. From this mixture, weakly bound…

Few-body physics related to the Efimov effect is discussed using the functional renormalization group method. After a short review of renormalization in its modern formulation we apply this formalism to the description of scattering and…

Quantum Gases · Physics 2012-08-20 Stefan Floerchinger , Sergej Moroz , Richard Schmidt

We present a new spectroscopy technique for studying cold-collision properties. The technique is based on the association and dissociation of ultracold molecules using a magnetically tunable Feshbach resonance. The energy and lifetime of a…

Statistical Mechanics · Physics 2007-05-23 Thomas Volz , Stephan Dürr , Niels Syassen , Gerhard Rempe , Eric van Kempen , Servaas Kokkelmans

Efimov physics in two nuclear-spin sublevels of bosonic lithium is studied and it is shown that the positions and widths of recombination minima and Efimov resonances are identical for both states within the experimental errors which…

Quantum Gases · Physics 2011-04-07 Noam Gross , Zav Shotan , Olga Machtey , Servaas Kokkelmans , Lev Khaykovich

Gaining control over chemical reactions on the quantum level is a central goal of the modern field of cold and ultracold chemistry. Here, we demonstrate a novel method to coherently steer reaction flux of a three-body recombination process…

The Efimov effect was first predicted for three particles interacting at an $s$-wave resonance in three dimensions. Subsequent study showed that the same effect can be realized by considering two-body and three-body interactions in mixed…

Quantum Gases · Physics 2017-09-27 Pengfei Zhang , Zhenhua Yu