Correlated Trapped Bosons and the Many-Body Efimov Effect

Abstract

We study two-body correlations in systems of identical bosons. We use a Faddeev type of decomposition of the wave function where all pairs of particles are treated equally. We focus on a new multi-particle Efimov effect at large scattering length, where infinitely many loosely bound many-body states appear. A confining external trap only allows a finite number of such spatially extended negative energy states inside the trap. The stability of a Bose condensate is determined by the decay into these model independent intermediate states which in turn decay into dimers.

4 pages (RevTeX4), 3 latex-figures, submitted to Phys. Rev. Lett

References in corpus (6)

• Dynamics of collapsing and exploding Bose-Einstein condensates
• Controlled Collapse of a Bose-Einstein Condensate
• Cold Bose gases with large scattering lengths
• The Dilute Bose-Einstein Condensate with Large Scattering Length
• Mean-field description of collapsing and exploding Bose-Einstein condensates
• Two-body correlations in Bose condensates

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• Four-boson scale near a Feshbach resonance
• Potential Harmonics Expansion Method for Trapped Interacting Bosons : Inclusion of Two-Body Correlation
• Analytic Harmonic Approach to the N-body problem
• Resonant Five-body Recombination in an Ultracold Gas of Bosonic Atoms
• The Hyperspherical Four-Fermion Problem
• Universality of Brunnian ($N$-body Borromean) four and five-body systems
• N-body Efimov states of trapped bosons
• The quantum N-body problem and the auxiliary field method
• Correlated N-boson systems for arbitrary scattering length
• Structure of boson systems beyond the mean-field
• Few-body quantum method in a $d$-dimensional space
• Bose atoms in a trap: a variational Monte Carlo formulation for the universal behavior at the Van der Waals length scale
• Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions
• Structural and quantum properties of van der Waals cluster near the unitary regime
• Two-component boson systems with hyperspherical coordinates