Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
arXiv:1204.4149 · doi:10.1103/PhysRevB.86.045123
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.
6 pages, 2 PDF figures. Corrections, clarifications, references added
References in corpus (18)
- Non-Abelian Anyons and Topological Quantum Computation
- The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
- Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides
- Spin waves in a one-dimensional spinor Bose gas
- Spin-charge separation in two-component Bose-gases
- Correlation functions of one-dimensional anyonic fluids
- Ferromagnetic behaviour in the strongly interacting two-component Bose gas
- Correlation Functions of One-Dimensional Lieb-Liniger Anyons
- Ground-state properties of one-dimensional anyon gases
- Ground-state properties of hard-core anyons in one-dimensional optical lattices
- Generalized exclusion statistics and degenerate signature of strongly interacting anyons
- Bethe Ansatz for 1D interacting anyons
- One-particle density matrix and momentum distribution function of one-dimensional anyon gases
- Entanglement properties and moment distributions of a system of hard-core anyons on a ring
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
- Excitations in two-component Bose-gases