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Related papers: Efimov effect in a $D$-dimensional Born-Oppenheime…

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We study two-body correlations in systems of identical bosons. We use a Faddeev type of decomposition of the wave function where all pairs of particles are treated equally. We focus on a new multi-particle Efimov effect at large scattering…

Condensed Matter · Physics 2009-11-07 O. Sørensen , D. V. Fedorov , A. S. Jensen

A quantum-mechanical description is presented for the three-body physics of shielded dipolar molecules, including a prediction of observable Efimov physics. Despite the anisotropic and long-range nature of the interaction, shielding enables…

Atomic Physics · Physics 2026-02-26 Shayamal Singh , Chris H. Greene

Efimov physics is a universal phenomenon arising in quantum three-body systems. For systems with resonant two-body interactions, Efimov predicted an infinite series of three-body bound states with geometric scaling symmetry. These Efimov…

Quantum Gases · Physics 2017-09-13 Jacob Johansen , B. J. DeSalvo , Krutik Patel , Cheng Chin

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

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

A precise study within variational approach of the basic properties of the three-particle spectrum and structure functions with Gaussian potential near the critical coupling constant of interaction where the Efimov effect takes place is…

Nuclear Theory · Physics 2007-05-23 B. E. Grinyuk , M. V. Kuzmenko , I. V. Simenog

Physics is said to be universal when it emerges regardless of the underlying microscopic details. A prominent example is the Efimov effect, which predicts the emergence of an infinite tower of three-body bound states obeying discrete scale…

Strongly Correlated Electrons · Physics 2013-08-26 Yusuke Nishida , Yasuyuki Kato , Cristian D. Batista

We study a system of three bosons interacting with short-range potentials which can move along three different lines. Two of these lines are parallel to each other within one plane. The third line is constrained to a plane perpendicular to…

Mathematical Physics · Physics 2024-12-02 Dirk Hundertmark , Marvin R. Schulz , Semjon Vugalter

We demonstrate the possibility of existence of meta-stable N-body Efimov states in trapped Bose systems with large scattering length. We calculate spectra of trapped systems of N=3,4,5,6, and 7 bosons using a stochastic variational method…

Atomic Physics · Physics 2009-07-17 M. Thøgersen , D. V. Fedorov , A. S. Jensen

In 1970 V. Efimov predicted a puzzling quantum-mechanical effect that is still of great interest today. He found that three particles subjected to a resonant pairwise interaction can join into an infinite number of loosely bound states even…

It is shown that the effective interaction strength of three bosons at small collision energies can be extracted from their wave function at zero energy. An asymptotic expansion of this wave function at large interparticle distances is…

Statistical Mechanics · Physics 2008-07-27 Shina Tan

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

We derive exact general relations between various observables for N bosons with zero-range interactions, in two or three dimensions, in an arbitrary external potential. Some of our results are analogous to relations derived previously for…

Quantum Gases · Physics 2017-05-31 Félix Werner , Yvan Castin

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

The structure of few-fermion systems having $1/2$ spin-isospin symmetry is studied using potential models. The strength and range of the two-body potentials are fixed to describe low energy observables in the angular momentum $L=0$ state…

Nuclear Theory · Physics 2016-03-23 A. Kievsky , M. Gattobigio

Efimov trimers are exotic three-body quantum states that emerge from the different types of three-body continua in the vicinity of two-atom Feshbach resonances. In particular, as the strength of the interaction is decreased to a critical…

Quantum Gases · Physics 2024-03-12 Yaakov Yudkin , Roy Elbaz , José P. D'Incao , Paul S. Julienne , Lev Khaykovich

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

We investigate the occurrence of Borromean three-body continuum s-wave resonances, in an $\alpha\alpha\beta$ system for large negative two-body scattering lengths. The energy and width are determined by a scaling function with arguments…

Quantum Gases · Physics 2015-03-17 F. Bringas , M. T. Yamashita , T. Frederico , L. Tomio

We investigate the energy dependence of inelastic processes in systems which possess Efimov states. We consider the three-body recombination rate $K_3$ where three free atoms interact to produce an atom--dimer pair, and the relaxation rate…

Atomic Physics · Physics 2016-10-20 D. Shu , I. Simbotin , R. Côté

A Fermi-Fermi mixture of 40K and 6Li does not exhibit the Efimov effect in a free space, but the Efimov effect can be induced by confining only 40K in one dimension. Here the Efimov's three-body parameter is controlled by the confinement…

Other Condensed Matter · Physics 2009-06-02 Yusuke Nishida , Shina Tan