Low-density, one-dimensional quantum gases in a split trap
Abstract
We investigate degenerate quantum gases in one dimension trapped in a harmonic potential that is split in the centre by a pointlike potential. Since the single particle eigenfunctions of such a system are known for all strengths of the central potential, the dynamics for non-interacting fermionic gases and low-density, strongly interacting bosonic gases can be investigated exactly using the Fermi-Bose mapping theorem. We calculate the exact many-particle ground-state wave-functions for both particle species, investigate soliton-like solutions, and compare the bosonic system to the well-known physics of Bose gases described by the Gross-Pitaevskii equation. We also address the experimentally important questions of creation and detection of such states.
Cite
@article{arxiv.cond-mat/0301200,
title = {Low-density, one-dimensional quantum gases in a split trap},
author = {Th. Busch and G. Huyet},
journal= {arXiv preprint arXiv:cond-mat/0301200},
year = {2009}
}
Comments
7 pages, 5 figures