Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries
Abstract
The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary conditions. The boson density, one-particle density matrix, and momentum distribution are obtained accounting for finite-size and boundary effects. Friedel oscillations are found in the density. Finite-size scaling of the momentum distribution at zero momentum is proposed as a method to obtain from the experiment the exponent that governs phase correlations. The strong correlations between bosons induced by reduced dimensionality and interactions are displayed by a Bijl-Jastrow wave function for the ground state, which is also derived.
Keywords
Cite
@article{arxiv.cond-mat/0201469,
title = {Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries},
author = {M. A. Cazalilla},
journal= {arXiv preprint arXiv:cond-mat/0201469},
year = {2009}
}
Comments
Final published version. Minor changes with respect to the previous version