Efimov physics and the three-body parameter for shallow van der Waals potentials

Abstract

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 excited helium trimers, this work analyzes the three-body parameter and the structural properties of three helium atoms as the s-wave scattering length is tuned artificially. Connections with theoretical and experimental studies of the Efimov scenario as it pertains to cold atom systems are made.

10 pages, 5 figures in Few-Body Systems (2015)

References in corpus (17)

• Observation of an Efimov spectrum in an atomic system
• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Observation of universality in ultracold 7Li three-body recombination
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Observation of the Efimov state of the helium trimer
• Radio Frequency Association of Efimov Trimers
• Analytical solution of the bosonic three-body problem
• Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter
• Universal van der Waals Physics for Three Ultracold Atoms
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• The Efimov effect in lithium 6
• N-body Efimov states of trapped bosons
• Universality in Efimov associated tetramers in 4He
• The three-body parameter for Efimov states in lithium-6
• Onset of the Limit Cycle and Universal Three-Body Parameter in Efimov Physics
• Universality Constraints on Three-Body Recombination for Cold Atoms: from 4He to 133Cs

Cited by in corpus (16)

• Efimov Physics: a review
• Few-body physics in resonantly interacting ultracold quantum gases
• Efimov-van-der-Waals universality for ultracold atoms with positive scattering lengths
• Van der Waals universality near a quantum tricritical point
• Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
• Three-body recombination near a narrow Feshbach resonance in ${}^6$Li
• Energy and structural properties of $N$-boson clusters attached to three-body Efimov states: Two-body zero-range interactions and the role of the three-body regulator
• Finite-range effects in Efimov physics beyond the separable approximation
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit
• A coherent superposition of Feshbach dimers and Efimov trimers
• Van der Waals universality in homonuclear atom-dimer elastic collisions
• Three and four identical fermions near the unitary limit
• Three-body systems in physics of cold atoms and halo nuclei
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Composite polaron formed on surface of two-dimensional lattice system in weak coupling regime