Quasi-One-Dimensional Dipolar Quantum Gases
Abstract
In this letter we consider dipolar quantum gases in a quasi-one-dimensional tube with dipole moment perpendicular to the tube direction. We deduce the effective one-dimensional interaction potential and show that this potential is not purely repulsive, but rather has an attractive part due to high-order scattering processes through transverse excited states. The attractive part can induce bound state and cause scattering resonances. This represents the dipole induced resonance in low-dimension. We work out an unconventional behavior of low-energy phase shift for this effective potential and show how it evolves across a resonance. Based on the phase shift, the interaction energy of spinless bosons is obtained using asymptotic Bethe ansatz. Despite of long-range nature of dipolar interaction, we find that a behavior similar as short-range Lieb-Linger gas emerges at the resonance regime.
Cite
@article{arxiv.1307.0899,
title = {Quasi-One-Dimensional Dipolar Quantum Gases},
author = {Liming Guan and Xiaoling Cui and Ran Qi and Hui Zhai},
journal= {arXiv preprint arXiv:1307.0899},
year = {2014}
}