The granularity of weakly occupied bosonic fields beyond the local density approximation

We examine ground state correlations for repulsive, quasi one-dimensional bosons in a harmonic trap. In particular, we focus on the few particle limit N=2,3,4,..., where exact numerical solutions of the many particle Schroedinger equation are available employing the Multi-Configuration Time-dependen...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2008-11
Main Authors: Eckart, M, Walser, R, Schleich, W P, Zöllner, S, Schmelcher, P
Format: Article
Language:English
Subjects:
Approximation
Boson fields
Bosons
Correlation
Density
Exact solutions
Mathematical models
Schrodinger equation
Time dependence
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We examine ground state correlations for repulsive, quasi one-dimensional bosons in a harmonic trap. In particular, we focus on the few particle limit N=2,3,4,..., where exact numerical solutions of the many particle Schroedinger equation are available employing the Multi-Configuration Time-dependent Hartree method. Our numerical results for the inhomogeneous system are modeled with the analytical solution of the homogeneous problem using the Bethe ansatz and the local density approximation. Tuning the interaction strength from the weakly correlated Gross-Pitaevskii- to the strongly correlated Tonks-Girardeau regime reveals finite particle number effects in the second order correlation function beyond the local density approximation.
ISSN:2331-8422
DOI:10.48550/arxiv.0811.1532