Quantum phase transition in a multicomponent anyonic Lieb-Liniger model

TL;DR

This paper investigates a one-dimensional multicomponent anyon model, revealing quantum phase transitions driven by the statistics parameter, with implications for understanding composite particle behavior in strongly correlated systems.

Contribution

It introduces a classification of quantum phase transitions in a multicomponent anyon model using Bethe ansatz and proposes a novel interpretation based on composite particle statistics.

Findings

Ground state energy varies extensively across phases

Quantum phase transitions occur at specific statistics parameter values

A general classification scheme for these transitions is provided

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.