Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
Abstract
We study ground state properties of spinless, quasi one-dimensional bosons which are confined in a harmonic trap and interact via repulsive delta-potentials. We use the exact diagonalization method to analyze the pair correlation function, as well as the density, the momentum distribution, different contributions to the energy and the population of single-particle orbitals in the whole interaction regime. In particular, we are able to trace the fascinating transition from bosonic to fermi-like behavior in characteristic features of the momentum distribution which is accessible to experiments. Our calculations yield quantitative measures for the interaction strength limiting the mean-field regime on one side and the Tonks-Girardeau regime on the other side of an intermediate regime.
Cite
@article{arxiv.cond-mat/0604673,
title = {Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study},
author = {Frank Deuretzbacher and Kai Bongs and Klaus Sengstock and Daniela Pfannkuche},
journal= {arXiv preprint arXiv:cond-mat/0604673},
year = {2007}
}
Comments
5 pages, 5 figures