High-momentum tail in the Tonks gas under harmonic confinement
Statistical Mechanics
2009-11-07 v1
Abstract
We use boson-fermion mapping to show that the single-particle momentum distribution in a one-dimensional gas of hard point-like bosons (Tonks gas) inside a harmonic trap decays as at large momentum . The relevant integrals expressing the one-body density matrix are evaluated for small numbers of particles in a simple Monte Carlo approach to test the extent of the asymptotic law and to illustrate the slow decay of correlations between the matter-wave field at different points.
Keywords
Cite
@article{arxiv.cond-mat/0201573,
title = {High-momentum tail in the Tonks gas under harmonic confinement},
author = {A. Minguzzi and P. Vignolo and M. P. Tosi},
journal= {arXiv preprint arXiv:cond-mat/0201573},
year = {2009}
}
Comments
8 pages, 3 figures, accepted for publication in Phys. Lett. A