A geometric wave function for few interacting bosons in a harmonic trap
Quantum Gases
2014-04-03 v1
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 a combination of the exact wave function solution for contact interactions and the asymptotic behaviour 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.
Cite
@article{arxiv.1307.1180,
title = {A geometric wave function for few interacting bosons in a harmonic trap},
author = {B. Wilson and A. Foerster and C. C. N. Kuhn and I. Roditi and D. Rubeni},
journal= {arXiv preprint arXiv:1307.1180},
year = {2014}
}
Comments
11 pages, 6 figures