Quantum holonomy in Lieb-Liniger model
Quantum Gases
2013-07-09 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We examine a parametric cycle in the N-body Lieb-Liniger model that starts from the free system and goes through Tonks-Girardeau and super-Tonks-Girardeau regimes and comes back to the free system. We show the existence of exotic quantum holonomy, whose detailed workings are analysed with the specific sample of two- and three body systems. The classification of eigenstates based on clustering structure naturally emerges from the analysis.
Cite
@article{arxiv.1304.5041,
title = {Quantum holonomy in Lieb-Liniger model},
author = {Nobuhiro Yonezawa and Atushi Tanaka and Taksu Cheon},
journal= {arXiv preprint arXiv:1304.5041},
year = {2013}
}
Comments
7 pages, 4 figures; v2: published version, appendices added, fixed typos