Single-Particle Momentum Distribution of an Efimov trimer

Abstract

Experimental progress in the study of strongly interacting ultracold atoms has recently allowed the observation of Efimov trimers. We study theoretically a non-conventional observable for these trimer states, that may be accessed experimentally, the momentum distribution n(k) of the constitutive bosonic particles. The large momentum part of the distribution is particularly intriguing: In addition to the expected 1/k^4 tail associated to contact interactions, it exhibits a subleading tail 1/k^5 which is a hall-mark of Efimov physics and leads to a breakdown of a previously proposed expression of the energy as a functional of the momentum distribution.

arXiv commentThis is a subpart of the (too long to be published) work arXiv:1001.0774. This subpart has 11 pages and 2 figures. Revised version correcting minor errors

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• Comparing and contrasting nuclei and cold atomic gases
• Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
• Quenching to unitarity: Quantum dynamics in a 3D Bose gas
• Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions
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• Three-body recombination in heteronuclear mixtures at finite temperature
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• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit
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• A simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy
• Long-lived universal resonant Bose gases
• Dimensional Effects on the Momentum distribution of Bosonic Trimer States
• More on the universal equation for Efimov states
• Core momentum distribution in two-neutron halo nuclei
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
• D-dimensional three-body bound-state problem with zero range interactions
• Momentum distribution in the unitary Bose gas from first principles
• Weakly bound molecules trapped with discrete scaling symmetries
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• Contact parameters in two dimensions for general three-body systems
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• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Bose-Einstein Condensate Dark Matter That Involves Composites
• The role of the effective range in strongly-interacting few-body systems
• Universal Relations in Long-range Quantum Spin Chains