Physics of Low-Dimensional Ultracold Bose Gases
Quantum Gases
2013-02-05 v1
Abstract
In this work we investigate the unique properties of ultracold Bose gases in one and two dimensions. In two dimensions, we present simulations of the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using the projected Gross-Pitaevskii equation formalism. We confirm the presence of the BKT phase by observing algebraic decay in the first-order correlation function, unbinding of vortex pairs, and behaviour of the superfluid fraction. In one dimension we use a transverse Gaussian ansatz and the Lagrangian approach to derive an effective equation of motion for the one dimensional Bose gas at zero temperature.
Keywords
Cite
@article{arxiv.1302.0470,
title = {Physics of Low-Dimensional Ultracold Bose Gases},
author = {Christopher James Foster},
journal= {arXiv preprint arXiv:1302.0470},
year = {2013}
}
Comments
UQ PhD thesis, 135 pages