Exact Diagonalization of the Hamiltonian for Trapped Interacting Bosons
Statistical Mechanics
2009-10-30 v2
Abstract
We consider systems of a small number of interacting bosons confined to harmonic potentials in one and two dimensions. By exact numerical diagonalization of the many-body Hamiltonian we determine the low lying excitation energies and the ground state energy and density profile. We discuss the dependence of these quantities on both interaction strength g and particle number N. The ground state properties are compared to the predictions of the Gross-Pitaevskii equation, which depends on these parameters only through the combination Ng. We also calculate the specific heat based on the obtained energy spectra.
Keywords
Cite
@article{arxiv.cond-mat/9707107,
title = {Exact Diagonalization of the Hamiltonian for Trapped Interacting Bosons},
author = {T. Haugset and H. Haugerud},
journal= {arXiv preprint arXiv:cond-mat/9707107},
year = {2009}
}
Comments
14 pages, 10 figures. The discussion on rescaling of the coupling is rewritten. Submitted to Phys. Rev. A