Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
Other Condensed Matter
2009-11-13 v2
Abstract
Exact solutions of the Schrodinger equation describing a freely expanding Lieb-Liniger (LL) gas of delta-interacting bosons in one spatial dimension are constructed. The many-body wave function is obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function which obeys the Schrodinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator which depends on the strength of the interaction and the number of particles.
Cite
@article{arxiv.0709.1444,
title = {Fermi-Bose transformation for the time-dependent Lieb-Liniger gas},
author = {H. Buljan and R. Pezer and T. Gasenzer},
journal= {arXiv preprint arXiv:0709.1444},
year = {2009}
}
Comments
4+ pages, 1 figure; added references