One-dimensional non-interacting fermions in harmonic confinement: equilibrium and dynamical properties
arXiv:cond-mat/0202086 · doi:10.1088/0953-4075/34/23/310
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.
11 pages, 5 figures