One-dimensional non-interacting fermions in harmonic confinement: equilibrium and dynamical properties
Statistical Mechanics
2009-11-07 v1
Abstract
We consider a system of one-dimensional non-interacting fermions in external harmonic confinement. Using an efficient Green's function method we evaluate the exact profiles and the pair correlation function, showing a direct signature of the Fermi statistics and of the single quantum-level occupancy. We also study the dynamical properties of the gas, obtaining the spectrum both in the collisionless and in the collisional regime. Our results apply as well to describe a one-dimensional Bose gas with point-like hard-core interactions.
Cite
@article{arxiv.cond-mat/0202086,
title = {One-dimensional non-interacting fermions in harmonic confinement: equilibrium and dynamical properties},
author = {Patrizia Vignolo and Anna Minguzzi},
journal= {arXiv preprint arXiv:cond-mat/0202086},
year = {2009}
}
Comments
11 pages, 5 figures