Raul A. Santos, Francis N. C. Paraan, Vladimir E. Korepin
We study a one-dimensional multicomponent anyon model that reduces to a multicomponent Lieb-Lininger 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.
View original:
http://arxiv.org/abs/1204.4149
No comments:
Post a Comment