The Bethe ansatz for 1D interacting anyons

被引:46
|
作者
Batchelor, M. T. [1 ]
Guan, X-W
He, J-S
机构
[1] Australian Natl Univ, Dept Theoret Phys, Res Sch Phys Sci & Engn, Canberra, ACT 0200, Australia
[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia
[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
关键词
quantum integrability (Bethe ansatz); thermodynamic Bethe ansatz;
D O I
10.1088/1742-5468/2007/03/P03007
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper gives a pedagogic derivation of the Bethe ansatz solution for 1D interacting anyons. This includes a demonstration of the subtle role of the anyonic phases in the Bethe ansatz arising from the anyonic commutation relations. The thermodynamic Bethe ansatz equations defining the temperature dependent properties of the model are also derived, from which some ground state properties are obtained.
引用
收藏
页数:20
相关论文
共 50 条
  • [21] Statistically induced phase transitions and anyons in 1D optical lattices
    Tassilo Keilmann
    Simon Lanzmich
    Ian McCulloch
    Marco Roncaglia
    Nature Communications, 2
  • [22] Statistically induced phase transitions and anyons in 1D optical lattices
    Keilmann, Tassilo
    Lanzmich, Simon
    McCulloch, Ian
    Roncaglia, Marco
    NATURE COMMUNICATIONS, 2011, 2
  • [23] Factorizing Drinfel'd twists and functional Bethe ansatz
    Terras, V
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2000, 50 (01) : 207 - 212
  • [24] Correction to: Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz
    Alexei Borodin
    Ivan Corwin
    Leonid Petrov
    Tomohiro Sasamoto
    Communications in Mathematical Physics, 2019, 370 : 1069 - 1072
  • [25] AN INTRODUCTION TO THE BETHE ANSATZ
    SUTHERLAND, B
    LECTURE NOTES IN PHYSICS, 1985, 242 : 1 - 95
  • [26] Quantum integrability and Bethe ansatz solution for interacting matter-radiation systems
    Kundu, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (25): : L281 - L287
  • [27] PERIMETER BETHE ANSATZ
    BAXTER, RJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (09): : 2557 - 2567
  • [28] Introduction to the Bethe ansatz
    Karabach, M
    Muller, G
    COMPUTERS IN PHYSICS, 1997, 11 (01): : 36 - 43
  • [29] Asymmetric Bethe Ansatz
    Jackson, Steven G.
    Perrin, Helene
    Astrakharchik, Gregory E.
    Olshanii, Maxim
    SCIPOST PHYSICS CORE, 2024, 7 (03):
  • [30] Quantum toroidal gl1 and Bethe ansatz
    Feigin, B.
    Jimbo, M.
    Miwa, T.
    Mukhin, E.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (24)