On a scale-invariant Fermi gas in a time-dependent harmonic potential
Quantum Gases
2012-07-20 v2 Nuclear Theory
Abstract
We investigate a scale-invariant two-component Fermi gas in a time-dependent isotropic harmonic potential. The exact time evolution of the density distribution in position space in any spatial dimension is obtained. Two experimentally relevant examples, an abrupt change and a periodic modulation of the trapping frequency are solved. Small deviations from scale invariance and isotropy of the confinement are addressed within first order perturbation theory. We discuss the consequences for experiments with ultracold quantum gases such as the excitation of a tower of undamped breathing modes and a new alternative for measuring the Tan contact.
Cite
@article{arxiv.1202.0584,
title = {On a scale-invariant Fermi gas in a time-dependent harmonic potential},
author = {Sergej Moroz},
journal= {arXiv preprint arXiv:1202.0584},
year = {2012}
}
Comments
6+3 pages, 2 figures; revised and extended version