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.

This 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

References in corpus (11)

• Theory of ultracold Fermi gases
• Observation of an Efimov spectrum in an atomic system
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Verification of universal relations in a strongly interacting Fermi gas
• Observation of universality in ultracold 7Li three-body recombination
• Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
• Number of closed-channel molecules in the BEC-BCS crossover
• Critical Behavior of a Trapped Interacting Bose Gas
• Radio Frequency Association of Efimov Trimers
• Universal Relations for Identical Bosons from 3-Body Physics
• Three fermions in a box at the unitary limit: universality in a lattice model

Cited by in corpus (14)

• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Comparing and contrasting nuclei and cold atomic gases
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Weakly bound states of two- and three-boson systems in the crossover from two to three dimension
• Occupation numbers of the harmonically trapped few-boson system
• More on the universal equation for Efimov states
• Dimensional Effects on the Momentum distribution of Bosonic Trimer States
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
• D-dimensional three-body bound-state problem with zero range interactions
• Three-body contact for fermions. I. General relations
• 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