Lieb-Liniger gas in a constant force potential
Quantum Gases
2010-08-16 v2 Quantum Physics
Abstract
We use Gaudin's Fermi-Bose mapping operator to calculate exact solutions for the Lieb-Liniger model in a linear (constant force) potential (the constructed exact stationary solutions are referred to as the Lieb-Liniger-Airy wave functions). The ground state properties of the gas in the wedge-like trapping potential are calculated in the strongly interacting regime by using Girardeau's Fermi-Bose mapping and the pseudopotential approach in the -approximation ( denotes the strength of the interaction). We point out that quantum dynamics of Lieb-Liniger wave packets in the linear potential can be calculated by employing an -dimensional Fourier transform as in the case of free expansion.
Cite
@article{arxiv.1005.3660,
title = {Lieb-Liniger gas in a constant force potential},
author = {D. Jukić and S. Galić and R. Pezer and H. Buljan},
journal= {arXiv preprint arXiv:1005.3660},
year = {2010}
}