Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization

Abstract

We study the correlation properties of the ground states of few ultracold bosons, trapped in double wells of varying barrier height in one dimension. Extending previous results on the signature of the transition from a Bose-condensed state via fragmentation to the hard-core limit, we provide a deeper understanding of that transition by relating it to the loss of coherence in the one-body density matrix and to the emerging long-range tail in the momentum spectrum. These are accounted for in detail by discussing the natural orbitals and their occupations. Our discussion is complemented by an analysis of the two-body correlation function.

22 pages, 7 figures

References in corpus (5)

• General variational many-body theory with complete self-consistency for trapped bosonic systems
• Ultracold Few-Boson Systems in a Double-Well Trap
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Best mean-field for condensates
• Ground-state properties of hard core bosons in one-dimensional harmonic traps

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