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Related papers: A Zero-Range Model for the Efimov Effect in the Bo…

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This article reviews theoretical and experimental advances in Efimov physics, an array of quantum few-body and many-body phenomena arising for particles interacting via short-range resonant interactions, that is based on the appearance of a…

Quantum Physics · Physics 2022-10-04 Pascal Naidon , Shimpei Endo

Efimov effects arise from scale invariance, a fundamental symmetry with universal implications. While spatial Efimov physics has been extensively studied, realizing its temporal counterpart remains challenging, as it requires a dynamical…

Quantum Gases · Physics 2026-03-18 Yunfei Xue , Jiabin Wang , Li Chen , Chenwei Lv , Ren Zhang

The existence of the Efimov effect is drastically affected by the dimensionality of the space in which the system is embedded. The effective spatial dimension containing an atomic cloud can be continuously modified by compressing it in one…

Atomic Physics · Physics 2018-05-16 D. S. Rosa , T. Frederico , G. Krein , M. T. Yamashita

We discuss several issues important for experimentally observing Efimov physics in ultracold quantum gases. By numerically solving the three-boson Schr\"odinger equation over a broad range of scattering lengths and energies, and by…

Other Condensed Matter · Physics 2009-02-10 J. P. D'Incao , Chris H. Greene , B. D. Esry

We study three-body systems in a mass-imbalanced two-component cold-atom mixture, and we investigate the three-body parameter of their Efimov states for both bosonic and fermionic systems, with a major focus on the Er-Er-Li Efimov states.…

Quantum Gases · Physics 2024-09-05 Kazuki Oi , Pascal Naidon , Shimpei Endo

"Resummed-Range Effective Field Theory'' is a consistent nonrelativistic effective field theory of contact interactions with large scattering length $a$ and an effective range $r_0$ large in magnitude but negative. Its leading order is…

Nuclear Theory · Physics 2023-12-13 Harald W. Griesshammer , Ubirajara van Kolck

The Bethe-Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body…

Nuclear Theory · Physics 2017-05-24 E. Ydrefors , J. H. Alvarenga Nogueira , V. Gigante , T. Frederico , V. A. Karmanov

When the scattering length is proportional to the distance from the center of the system, two particles are shown to be trapped about the center. Furthermore, their spectrum exhibits discrete scale invariance, whose scale factor is…

Quantum Gases · Physics 2015-03-20 Yusuke Nishida , Dean Lee

We study the three-boson bound-state mass and wave functions for ground and excited states within the three-body relativistic framework with Kamada and Gl\"ocke boosted potentials in the limit of a zero-range interaction. We adopt a…

Nuclear Theory · Physics 2021-11-10 K. Mohseni , A. J. Chaves , D. R. da Costa , T. Frederico , M. R. Hadizadeh

We study the Efimov states in highly mass-imbalanced three-body systems composed of two identical heavy atoms and one light atom, focusing on the Er-Er-Li and Dy-Dy-Li cold-atom mixtures with strong dipole-dipole interactions between the…

Quantum Gases · Physics 2025-09-15 Kazuki Oi , Shimpei Endo

Optical trapping techniques allow for the formation of bosonic condensates with internal degrees of freedom, so-called spinor condensates. Mean-field models of spinor condensates highlight the sensitivity of the quantum phases of the system…

Quantum Physics · Physics 2015-08-03 V. E. Colussi , Chris H. Greene , J. P. D'Incao

The universal properties of charged particles are modified by the presence of a long-range Coulomb interaction. We investigate the modification of Efimov universality as a function of the Coulomb strength using the Gaussian expansion…

Nuclear Theory · Physics 2019-06-10 C. H. Schmickler , H. -W. Hammer , E. Hiyama

We describe three-body collisions close to a Feshbach resonance by taking into account two-body scattering processes involving both the open and the closed channel. We extract the atom-dimer scattering length and the three-body…

Other Condensed Matter · Physics 2014-11-17 P. Massignan , H. T. C. Stoof

I consider non-relativistic bosons interacting via pairwise potentials with infinite scattering length and supporting no two-body bound states. To lowest order in effective field theory, these conditions lead to non-interacting bosons,…

Quantum Gases · Physics 2019-07-16 Manuel Valiente

We study the recombination process of three atoms scattering into an atom and diatomic molecule in heteronuclear mixtures of ultracold atomic gases with large and positive interspecies scattering length at finite temperature. We calculate…

Quantum Gases · Physics 2017-09-13 Samuel B. Emmons , Daekyoung Kang , Bijaya Acharya , Lucas Platter

We study the Schr\"{o}dinger equation with $1/r^3$ and attractive $1/r^2$ potentials. Using the quantum defect theory, we obtain analytical solutions for both repulsive and attractive $1/r^3$ interactions. The obtained…

Quantum Gases · Physics 2026-01-28 Yuki Ohishi , Kazuki Oi , Shimpei Endo

We study two-body correlations for $N$ identical bosons by use of the hyperspherical adiabatic expansion method. We use the zero-range interaction and derive a transcendental equation determining the key ingredient of the hyperradial…

Other Condensed Matter · Physics 2015-06-24 T. Sogo , O. Sørensen , A. S. Jensen , D. V. Fedorov

Using potential models we analyze range corrections to the universal law dictated by the Efimov theory of three bosons. In the case of finite-range interactions we have observed that, at first order, it is necessary to supplement the theory…

Quantum Gases · Physics 2016-01-06 A. Kievsky , M. Gattobigio

We study three same spin state fermions of mass M interacting with a distinguishable particle of mass m in the unitary limit where the interaction has a zero range and an infinite s-wave scattering length. We predict an interval of mass…

Quantum Gases · Physics 2015-05-19 Yvan Castin , Christophe Mora , Ludovic Pricoupenko

In this work, we illustrate the recently introduced concept of the cavity Born-Oppenheimer approximation for correlated electron-nuclear-photon problems in detail. We demonstrate how an expansion in terms of conditional electronic and…

Quantum Physics · Physics 2017-04-12 Johannes Flick , Heiko Appel , Michael Ruggenthaler , Angel Rubio