N-body Efimov states of trapped bosons

Abstract

We demonstrate the possibility of existence of meta-stable N-body Efimov states in trapped Bose systems with large scattering length. We calculate spectra of trapped systems of N=3,4,5,6, and 7 bosons using a stochastic variational method with a restricted correlated Gaussian basis. For each system the calculations reveal a series of Efimov states where the energy and the r.m.s. radius exhibit the characteristic exponential dependence upon the state number. We also estimate the contribution of these states to the recombination rate of Bose-Einstein condensates.

References in corpus (9)

• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Three-body recombination of ultra-cold atoms to a weakly bound $s$ level
• The structure of the atomic helium trimers: Halos and Efimov states
• Matter Wave Diffraction from an Inclined Transmission Grating: Searching for the Elusive He-4 Trimer Efimov State
• Correlated Trapped Bosons and the Many-Body Efimov Effect
• Correlated N-boson systems for arbitrary scattering length
• Correlated Gaussian method for dilute bosonic systems
• Trapped Bose gases with large positive scattering length
• Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions

Cited by in corpus (21)

• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Efimov Resonances in Ultracold Quantum Gases
• Comparing and contrasting nuclei and cold atomic gases
• Weakly Bound Cluster States of Efimov Character
• Universal Five- and Six-Body Droplets Tied to an Efimov Trimer
• Supplementary information to "Efimov-driven phase transitions of the unitary Bose gas"
• Efimov-driven phase transitions of the unitary Bose gas
• A general theoretical description of N-body recombination
• Resonant Five-body Recombination in an Ultracold Gas of Bosonic Atoms
• Universality of Brunnian ($N$-body Borromean) four and five-body systems
• Bound Dimers in Bilayers of Cold Polar Molecules
• Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances
• The three-body parameter for Efimov states in lithium-6
• Efimov physics and the three-body parameter for shallow van der Waals potentials
• Calculating few-body resonances using an oscillator trap
• Few-body quantum method in a $d$-dimensional space
• Efimov spectrum in bosonic systems with increasing number of particles
• Spatial non-locality in confined quantum systems: a liaison with quantum correlations
• Structural and quantum properties of van der Waals cluster near the unitary regime
• Window for Efimov physics for few-body systems with finite-range interactions
• Interacting Bose-condensed gases