Correlation properties of a three-body bosonic mixture in a harmonic trap

Abstract

We make use of a simple pair correlated wave function approach to obtain results for the ground-state densities and momentum distribution of a one-dimensional three-body bosonic system with different interactions in a harmonic trap. For equal interactions this approach is able to reproduce the known analytical cases of zero and infinite repulsion. We show that our results for the correlations agree with the exact diagonalization in all interaction regimes and with analytical results for the strongly repulsive impurity. This method also enables us to access the more complicated cases of mixed interactions, and the probability densities of these systems are analyzed.

9 pages, 8 figures

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Cited by in corpus (12)

• One-dimensional mixtures of several ultracold atoms: a review
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Quantum correlations and degeneracy of identical bosons in a 2D harmonic trap
• Infinite Barriers and Symmetries for a Few Trapped Particles in One Dimension
• Optimized Configuration Interaction Approach for Trapped Multiparticle Systems Interacting Via Contact Forces
• Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement
• Dynamical realization of magnetic states in a strongly interacting Bose mixture
• Fermionic properties of two interacting bosons in a two-dimensional harmonic trap
• Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures
• Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
• The Goldilocks model of separable, zero-range, few-body interactions in one-dimensional harmonic traps
• Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential