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We consider two bosonic atoms interacting with a short-range potential and trapped in a spherically symmetric harmonic oscillator. The problem is exactly solvable and is relevant for the study of ultra-cold atoms. We show that the energy…

Atomic Physics · Physics 2015-05-13 Patrick Shea , Brandon P. van Zyl , Rajat K. Bhaduri

We study the Efimov effect in a harmonic oscillator in the hyperspherical formulation, and show how a reduced model allows for a description that is a generalization of the Efimov effect in free space and leads to results that are easily…

Quantum Gases · Physics 2011-12-05 Jacobus Portegies , Servaas Kokkelmans

We show that the recently measured magnetic field dependence of three-body loss in a three-component mixture of ultracold $^6$Li atoms [1,2] can be explained by the presence of a universal trimer state. Previous work suggested a universal…

Quantum Gases · Physics 2009-11-25 A. N. Wenz , T. Lompe , T. B. Ottenstein , F. Serwane , G. Zürn , S. Jochim

Small weakly-bound droplets determine a number of properties of ultracold Bose and Fermi gases. For example, Efimov trimers near the atom-atom-atom and atom-dimer thresholds lead to enhanced losses from bosonic clouds. Generalizations to…

Quantum Gases · Physics 2019-01-14 D. Blume

The energy spectrum for three species of identical fermionic atoms close to a Feshbach resonance is computed by use of a nonperturbative flow equation. Already a simple truncation shows that for large scattering length $|a|$ the lowest…

Superconductivity · Physics 2009-01-19 S. Floerchinger , R. Schmidt , S. Moroz , C. Wetterich

The spectral flow of three-body (trimer) states consisting of two heavy (impurity) particles sitting in a condensate of light bosons is considered. Assuming that the condensate is weakly interaction and that an impurity and a boson have a…

Quantum Gases · Physics 2014-09-24 N. T. Zinner

Atoms with a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-atom sector, the universal properties are familiar and depend…

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

Motivated by recent experimental investigations of Cs-Cs-Li Efimov resonances, this work theoretically investigates the few-body properties of $N-1$ non-interacting identical heavy bosons, which interact with a light impurity through a…

Quantum Gases · Physics 2015-06-23 D. Blume , Yangqian Yan

An unusual class of $p$-wave universal trimers with symmetry $L^{\Pi}=1^{\pm}$ is identified, for both a two-component fermionic trimer with $s$- and $p$-wave scattering length close to unitarity and for a one-component fermionic trimer at…

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

Four-boson Efimov physics is well known in the negative energy regime but far less above the four-body breakup threshold. The part of this region with negative two-boson scattering length is studied solving rigorous four-particle scattering…

Nuclear Theory · Physics 2021-06-30 A. Deltuva

Photoassociation of ultracold rubidium atoms with femtosecond laser pulses is studied theoretically. The spectrum of the pulses is cut off in order to suppress pulse amplitude at and close to the atomic resonance frequency. This leads to…

Atom loss resonances in ultracold trapped atoms have been observed at scattering lengths near atom-dimer resonances, at which Efimov trimers cross the atom-dimer threshold, and near two-dimer resonances, at which universal tetramers cross…

Quantum Gases · Physics 2015-06-15 Christian Langmack , D. Hudson Smith , Eric Braaten

Probability distributions for correlation functions of particles interacting via random-valued fields are discussed as a novel tool for determining the spectrum of a theory. In particular, this method is used to determine the energies of…

Nuclear Theory · Physics 2016-04-20 Amy N. Nicholson

As resonantly interacting trimers of the type AAB are progressively squeezed from $D=3$ to $D=2$, unatomic states emerge. We calculated the contacts from the high momentum tail of the single particle densities. The sharp increase of the…

Quantum Gases · Physics 2025-03-04 Rafael M. Francisco , D. S. Rosa , T. Frederico , M. T. Yamashita , G. Krein

Recent theoretical developments in the four-boson system with resonant interactions are described. Momentum-space scattering equations for the four-particle transition operators are used. The properties of unstable tetramers with…

Atomic Physics · Physics 2015-06-12 A. Deltuva

The coupling of excitons with atomic vibrations plays a pivotal role on the nonequilibrium optical properties of layered semiconductors. However, addressing the dynamical interaction between excitons and phonons represents a hard task both…

Three oriented bosonic dipoles are treated using the hyperspherical adiabatic representation, providing numerical evidence that the Efimov effect persists near a two-dipole resonance and in a system where angular momentum is not conserved.…

Atomic Physics · Physics 2011-07-01 Yujun Wang , J. P. D'Incao , Chris H. Greene

We use the functional renormalisation group to study the spectrum of three- and four-body states in bosonic systems around the unitary limit. Our effective action includes all energy-independent contact interactions in the four-atom sector…

Quantum Gases · Physics 2015-08-12 Benjamin Jaramillo Avila , Michael C. Birse

A distinguishing feature of ultracold collisions of bosonic lithium atoms is the presence of two near-degenerate two-body continua. The influence of such a near-degeneracy on the few-body physics in the vicinity of a narrow Feshbach…

Quantum Gases · Physics 2023-05-04 Yaakov Yudkin , Paul S. Julienne , Lev Khaykovich

In a three-body system of identical bosons interacting through a large S-wave scattering length $a$, there are several sets of Efimov features related by discrete scale invariance. Effective field theory was recently used to derive…

Quantum Gases · Physics 2015-09-16 Chen Ji , Eric Braaten , Daniel R. Phillips , Lucas Platter