One-dimensional Bosons in Three-dimensional Traps

Preprint

30 August 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0304071

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.

Keywords

All Related Versions

Version 1, 2003-04-03, ArXiv
Version 2, 2003-08-30, ArXiv
Published version: Physical Review Letters, 91 (15), 150401.

This publication has 0 references indexed in Scilit: