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

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 pot...

Full description

Saved in:

Bibliographic Details
Published in:	Physics letters. A Vol. 378; no. 16-17; pp. 1065 - 1070
Main Authors:	Wilson, B., Foerster, A., Kuhn, C.C.N., Roditi, I., Rubeni, D.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 14-03-2014
Subjects:	Asymptotic properties Bosons Contact Density Harmonics Mathematical analysis Solid state physics Wave functions
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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. •Introduce a new ansatz to address the problem of few interacting bosons in a trap.•Calculate the ground state energy and pair correlations for the system.•This ansatz can access all regimes, from strongly attractive to strongly repulsive.•The ansatz provides new insight into this not exactly solvable problem.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0375-9601 1873-2429
DOI:	10.1016/j.physleta.2014.02.009