Efimov Trimers in a Harmonic Potential
arXiv:1101.0696 · doi:10.1007/s00601-011-0237-6
Abstract
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 interpreted. Efimov physics may be observed by varying the value of the scattering length, since in the regime where the trimers have a mixed harmonic oscillator and Efimov character, the inelastic properties of these states are still manageable. The model also allows for the study of non-universal Efimov trimers by including the effective range scattering parameter. While we find that in a certain regime the effective range parameter can take over the role of the three-body parameter, interestingly, we obtain a numerical relationship between these two parameters different from what was found in other models.
15 pages, 9 figures
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Cited by in corpus (12)
- Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
- Symmetries of Three Harmonically-Trapped Particles in One Dimension
- Preparation and spectroscopy of a metastable Mott insulator state with attractive interactions
- Efimov trimers under strong confinement
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- Analytical treatment of the interaction quench dynamics of two bosons in a two-dimensional harmonic trap
- Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
- Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
- D-dimensional three-body bound-state problem with zero range interactions
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- Energetics of three interacting mass-imbalanced bodies in a three-dimensional spherical harmonic trap
- Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling