A geometric wave function for a few interacting bosons in a harmonic trap

B. Wilson, A. Foerster*, C. C.N. Kuhn, I. Roditi, D. Rubeni

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    21 Citations (Scopus)

    Abstract

    We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.

    Original languageEnglish
    Pages (from-to)1065-1070
    Number of pages6
    JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
    Volume378
    Issue number16-17
    DOIs
    Publication statusPublished - 14 Mar 2014

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