Quantum phase transition in a multicomponent anyonic Lieb-Liniger model

2012/04/30 by Raul A. Santos, Francis N. C. Paraan, V. E. Korepin +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Anyon #Bethe ansatz #Bose gas #Boson #Cold Atom Physics and Bose-Einstein Condensates #Ground state #Mathematics #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum statistical mechanics #Statistical physics #Statistics #Topological quantum computer #cond-mat.quant-gas #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevb.86.045123

published as Phys. Rev. B 86, 045123 (2012) · 6 pages, 2 PDF figures. Corrections, clarifications, references added

arxiv created 2012/07/18 · openalex publication_date 2012/07/18 · arxiv updated 2012/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

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