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

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

2006-08-29

arxiv.org/abs/cond-mat/0608639v1

Phys. Rev. A 74, 063611 (2006)

Physics

Condensed Matter

Other Condensed Matter

22 pages, 7 figures

Scientific paper

10.1103/PhysRevA.74.063611

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.

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