One-dimensional Bosons in Three-dimensional Traps
Abstract
Recent experimental and theoretical work has indicated conditions in which a trapped, low-density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up to now the theoretical arguments have been based on variational - perturbative ideas or numerical investigations. There are 4 parameters: density, transverse and longitudinal dimensions, and scattering length. In this paper we explicate 5 parameter regions in which various types of 1D or 3D behavior occur. Our discussion is based on a rigorous analysis of the many-body Schroedinger equation. This version of the article is a combination of the earlier 4-page arXiv version and the revised 4-page Physical Review Letters version.
Cite
@article{arxiv.cond-mat/0304071,
title = {One-dimensional Bosons in Three-dimensional Traps},
author = {Elliott H. Lieb and Robert Seiringer and Jakob Yngvason},
journal= {arXiv preprint arXiv:cond-mat/0304071},
year = {2016}
}
Comments
RevTeX4, 5 pages. Revised and extended version; outline of proof added