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We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. The universal spectrum is recovered for the least bound states, whereas for…

量子气体 · 物理学 2012-11-27 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Quantum theory dictates that upon weakening the two-body interaction in a three-body system, an infinite number of three-body bound states of a huge spatial extent emerge just before these three-body states become unbound. Three helium…

Extremely weakly-bound three-boson systems are predicted to exhibit intriguing universal properties such as discrete scale invariance. Motivated by recent experimental studies of the ground and excited helium trimers, this work analyzes the…

量子气体 · 物理学 2015-12-08 D. Blume

Efimov effect is characterized by an infinite number of three-body bound states following a universal geometric scaling law at two-body resonances. In this paper, we investigate the influence of two-body loss which can be described by a…

量子气体 · 物理学 2024-09-27 Mingyuan Sun , Chang Liu , Zhe-Yu Shi

Under certain circumstances, three or more interacting particles may form bound states. While the general few-body problem is not analytically solvable, the so-called Efimov trimers appear for a system of three particles with resonant…

量子气体 · 物理学 2015-05-14 Scott E. Pollack , Daniel Dries , Randall G. Hulet

The Faddeev equations for the atomic helium-trimer systems are solved numerically with high accuracy both for the most sophisticated realistic potentials available and for simple phenomenological potentials. An efficient numerical procedure…

原子物理 · 物理学 2009-10-31 E. Nielsen , D. V. Fedorov , A. S. Jensen

In recent years extensive theoretical and experimental studies of universal few-body physics have led to advances in our understanding of universal Efimov physics [1]. The Efimov effect, once considered a mysterious and esoteric effect, is…

量子气体 · 物理学 2015-06-03 Jia Wang , J. P. D'Incao , B. D. Esry , Chris H. Greene

The two-body scattering length a for 4He atoms is much larger than their effective range r_s. As a consequence, low-energy few-body observables have universal characteristics that are independent of the interaction potential. Universality…

凝聚态物理 · 物理学 2009-11-07 Eric Braaten , H. -W. Hammer

Using a generalized Bohr model and the hyper-spherical formalism for a three-body system, we derive the Thomas theorem assuming a simple interaction depending on the range of the potential. We discuss the conditions for which an unbound…

核理论 · 物理学 2020-08-13 H. Zheng , A. Bonasera

We study the universality of the three-body parameters for systems relevant for ultracold quantum gases with positive $s$-wave two-body scattering lengths. Our results account for finite-range effects and their universality is tested by…

原子物理 · 物理学 2017-04-05 Paul M. A. Mestrom , Jia Wang , Chris H. Greene , Jose P. D'Incao

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…

量子气体 · 物理学 2011-12-05 Jacobus Portegies , Servaas Kokkelmans

The low-energy spectrum of three particles interacting via nearly resonant two-body interactions in the Efimov regime is set by the so-called three-body parameter. We show that the three-body parameter is essentially determined by the…

量子气体 · 物理学 2014-03-25 Pascal Naidon , Shimpei Endo , Masahito Ueda

The Efimov effect is the only experimentally realized universal phenomenon that exhibits the renormalization-group limit cycle with the three-body parameter parametrizing a family of universality classes. Recent experiments in ultracold…

量子气体 · 物理学 2015-01-20 Yusuke Horinouchi , Masahito Ueda

We calculated, using seven realistic 4He-4He potentials in the literature, the Efimov spectra of the 4He trimer and tetramer and analyzed the universality of the systems. The three-(four-)body Schroedinger equations were solved fully…

量子气体 · 物理学 2014-11-20 E. Hiyama , M. Kamimura

In Efimov physics, a three-body parameter (3BP), previously regarded as nonuniversal, uniquely defines bound and scattering properties of three particles. A universal 3BP, however, have been recently shown in experiments and theory in…

原子物理 · 物理学 2012-12-13 Yujun Wang , Jia Wang , J. P. D'Incao , Chris H. Greene

Particles with short-range interactions and 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-body sector, the universal…

其他凝聚态物理 · 物理学 2009-07-09 Eric Braaten , H. -W. Hammer

Few-body systems with resonant short-range interactions display universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the…

量子气体 · 物理学 2012-08-16 S. Tölle , H. -W. Hammer , B. C. Metsch

We measure the critical scattering length for the appearance of the first three-body bound state, or Efimov three-body parameter, at seven different Feshbach resonances in ultracold 39K atoms. We study both intermediate and narrow…

We report on the measurement of four-body recombination rate coefficients in an atomic gas. Our results obtained with an ultracold sample of cesium atoms at negative scattering lengths show a resonant enhancement of losses and provide…

其他凝聚态物理 · 物理学 2009-11-13 F. Ferlaino , S. Knoop , M. Berninger , W. Harm , J. P. D'Incao , H. -C. Nägerl , R. Grimm

Efimov states are a sequence of shallow 3-body bound states that arise when the 2-body scattering length is large. Efimov showed that the binding energies of these states can be calculated in terms of the scattering length and a 3-body…

凝聚态物理 · 物理学 2009-11-07 Eric Braaten , H. -W. Hammer , M. Kusunoki
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