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Correlations in ultracold trapped few-boson systems: Transition from condensation to fermionization

2006/08/29 by Sascha Zöllner, Hans‐Dieter Meyer, Hans-Dieter Meyer +1 · 1 citation
Physics and Astronomy · #Advanced Frequency and Time Standards #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.other

paper · pdf · doi:10.1103/physreva.74.063611

published as Phys. Rev. A 74, 063611 (2006) · 22 pages, 7 figures

arxiv created 2006/08/29 · openalex publication_date 2006/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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