Universal few-body physics and cluster formation

  title={Universal few-body physics and cluster formation},
  author={Chris H. Greene and P. Giannakeas and Jes{\'u}s P{\'e}rez-R{\'i}os},
  journal={Reviews of Modern Physics},
A comprehensive account of the theoretical analyses of the Efimov effect and the universal properties of three-body bound states is provided. Recent experimental studies are reviewed and shown how the few-body analysis also yields insights into many-body phenomena, accessible by the experimental ability to tune the range and strength of the forces between cold atoms. 
Window for Efimov physics for few-body systems with finite-range interactions
We investigate the two lowest-lying weakly bound states of N ≤ 8 bosons as functions of the strength of two-body Gaussian interactions. We observe the limit for validity of Efimov physics. We
Few-body physics in resonantly interacting ultracold quantum gases
We provide a general discussion on the importance of three-body Efimov physics for strongly interacting ultracold quantum gases. Using the adiabatic hyperspherical representation, we discuss a
Universality in a one-dimensional three-body system
We study a heavy-heavy-light three-body system confined to one space dimension. Both binding energies and corresponding wave functions are obtained for (i) the zero-range, and (ii) two finite-range
Universality in Systems of up to Four Particles — From Nuclei to Ultracold Atoms
Universal physics manifests in low-energy phenomena over a large array of different systems from nuclear to atomic physics. Here, two interesting aspects of universality are studied using the
Universal temperature dependence of the ion-neutral-neutral three-body recombination rate
A classical approach based on hyperspherical coordinates is used to derive a first principle formulation of the the ion-neutral-neutral three-body recombination rate, A$^+$ + A + A $\rightarrow$
Precision Test of the Limits to Universality in Few-Body Physics.
A refined multichannel three-body model, built on the measurement of two-body physics, can account for this difference and even successfully predict the Efimov inelasticity parameter η.
Cluster Formation in Two-Component Fermi Gases.
The condition for cluster formation is identified, the binding energy of cluster states in trapped few-body systems is calculated, and the difference of structural properties between cluster states and gaslike states is shown.
Efimov States in an Ultracold Gas: How it Happened in the Laboratory
In the year 2005, we obtained first evidence for the existence of weakly bound quantum states of three resonantly interacting particles, as predicted 35 years earlier by Vitaly Efimov. In our
Comprehensive study of the three- and four-neutron systems at low energies
This work presents further analysis of the three- and four-neutron systems in the low energy regime using adiabatic hyperspherical methods. In our previous article [M. D. Higgins et al., Phys. Rev.


Signatures of universal four-body phenomena and their relation to the Efimov effect
A theoretical study predicts universal signatures of four-body physics in cold-gas experiments, and presents evidence that these have already been observed.
Physical Origin of the Universal Three-body Parameter in Atomic Efimov Physics
We address the microscopic origin of the universal three-body parameter that fixes the spectrum of few-atom systems in the Efimov regime. We identify it with a nonadiabatic deformation of the
Evidence for universal four-body states tied to an Efimov trimer.
The results obtained with an ultracold sample of cesium atoms at negative scattering lengths show a resonant enhancement of losses and provide strong evidence for the existence of a pair of four-body states, which is strictly connected to Efimov trimers via universal relations.
Origin of the three-body parameter universality in Efimov physics.
This study shows that the three-body parameter universality emerges because a universal effective barrier in theThree-body potentials prevents the three particles from simultaneously getting close together, and shows limitations on this universality.
Microscopic origin and universality classes of the Efimov three-body parameter.
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
Universal aspects of Efimov states and light halo nuclei
The parametric region in the plane defined by the ratios of the energies of the subsystems and the three-body ground state, in which Efimov states can exist, is determined. We use a renormalizable
Resonant five-body recombination in an ultracold gas of bosonic atoms
We combine theory and experiment to investigate five-body recombination in an ultracold gas of atomic cesium at negative scattering length. A refined theoretical model, in combination with extensive
Universal thermodynamics of strongly interacting Fermi gases
  • P. Drummond, Xiaji Liu, Hui Hu
  • Physics
    2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference
  • 2007
The report analyzes all the available experimental data from three laboratories on the entropy-energy relation of two different strongly interacting trapped Fermi gases, and compare this directly
Three-body problem in Fermi gases with short-range interparticle interaction
We discuss three-body processes in ultracold two-component Fermi gases with short-range intercomponent interaction characterized by a large and positive scattering length a. It is found that in most
Efimov physics: a review.
These experiments revealed that the previously undetermined three-body parameter introduced in the Efimov theory to stabilise the three- body attraction typically scales with the range of atomic interactions.