Quantum phase transition in a multicomponent anyonic Lieb-Liniger model

Details Quantum phase transition in a multicomponent anyonic Lieb-Liniger model Quantum phase transition in a multicomponent anyonic Lieb-Liniger model

2012-04-18

arxiv.org/abs/1204.4149v1

Physics

Condensed Matter

Quantum Gases

6 pages, 2 PDF figures

Scientific paper

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.

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