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

doi:10.1016/j.physleta.2014.02.009

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 journal › Article › peer-review

25 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 language	English
Pages (from-to)	1065-1070
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	378
Issue number	16-17
DOIs	https://doi.org/10.1016/j.physleta.2014.02.009
Publication status	Published - 14 Mar 2014

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10.1016/j.physleta.2014.02.009

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AU - Roditi, I.

AU - Rubeni, D.

PY - 2014/3/14

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N2 - 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.

AB - 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.

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

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