Microscopic origin and universality classes of the Efimov three-body parameter.

@article{Naidon2014MicroscopicOA,
  title={Microscopic origin and universality classes of the Efimov three-body parameter.},
  author={Pascal Naidon and Shimpei Endo and Masahito Ueda},
  journal={Physical review letters},
  year={2014},
  volume={112 10},
  pages={
          105301
        }
}
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 zero-energy two-body correlation. As a result, we identify two classes of two-body interactions for which the three-body parameter has a universal value in units of their effective range. One class involves the universality of the three-body parameter recently… 
View on PubMed
arxiv.org
54 Citations
Highly Influential Citations
5
Background Citations
14
Methods Citations
1
Results Citations
3

Figures, Tables, and Topics from this paper

54 Citations

Citation Type

Citation Type

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…
Efimov Physics and the Three-Body Parameter for Shallow van der Waals Potentials
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…
Efimov physics: a review.
TLDR
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.
Efimov States in Li–Cs Mixtures within a Minimal Model
We use a minimal zero-range model for describing the bound state spectrum of three-body states consisting of two Cesium and one Lithium atom. Using a broad Feshbach resonance model for the two-body…
Universal few-body physics in resonantly interacting spinor condensates
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…
Heteronuclear Efimov resonances in ultracold quantum gases
The Efimov scenario is a universal three-body effect addressing many areas of modern quantum physics. It plays an important role in the transition between few- and many-body physics and has enabled…
Unitary boson-boson and boson-fermion mixtures: third virial coefficient and three-body parameter on a narrow Feshbach resonance
Abstract We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite…
Window for Efimov physics for few-body systems with finite-range interactions
We investigate the two lowest-lying weakly bound states of $N \leq 8$ bosons as functions of the strength of two-body Gaussian interactions. We observe the limit for validity of Efimov physics. We…
Two- and three-body problem with Floquet-driven zero-range interactions
We study the two-body scattering problem in the zero-range approximation with a sinusoidally driven scattering length and calculate the relation between the mean value and amplitude of the drive for…
Efimov Physics in Quenched Unitary Bose Gases.
TLDR
It is found that the breakdown of continuous scale invariance, due to Efimov physics, manifests also in the earliest stages of evolution after the interaction quench to unitarity, where it agrees with the early-time dynamical growth of three-body correlations at unitarity.
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 72 REFERENCES
Physics
PROF. H. A. WILSON is best known for his experimental researches, but this book shows that he is also able to give clear expositions of the more theoretical aspects of modern physics. As he has…
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…
Nature
  • R. Rosenfeld
  • Medicine
    Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
TLDR
I am writing with a simple plea to balance the voluminous articles about treatment in your journal with a modicum of information about nature and caring effects to rekindle the perception of physicians as healers, not only treaters, who relish the gifts of nature, and foster the humanistic aspect of medicine that has thrived for millennia.
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2012
and M
  • Ueda
  • 2012
  • 2011
Phys
  • Rev. A 62, 032504
  • 2000
Phys. Rev. A
  • Phys. Rev. A
  • 2000
Nat
  • Phys. 9, 93
  • 2013
Nat. Phys
  • Nat. Phys
  • 2013
...
1
2
3
4
5
...