Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
Quantum Gases
2012-07-19 v2 Strongly Correlated Electrons
Quantum Physics
Abstract
We study a one-dimensional multicomponent anyon model that reduces to a multicomponent Lieb-Liniger gas of impenetrable bosons (Tonks-Girardeau gas) for vanishing statistics parameter. At fixed component densities, the coordinate Bethe ansatz gives a family of quantum phase transitions at special values of the statistics parameter. We show that the ground state energy changes extensively between different phases. Special regimes are studied and a general classification for the transition points is given. An interpretation in terms of statistics of composite particles is proposed.
Cite
@article{arxiv.1204.4149,
title = {Quantum phase transition in a multicomponent anyonic Lieb-Liniger model},
author = {Raul A. Santos and Francis N. C. Paraan and Vladimir E. Korepin},
journal= {arXiv preprint arXiv:1204.4149},
year = {2012}
}
Comments
6 pages, 2 PDF figures. Corrections, clarifications, references added