Off-Diagonal Bethe Ansatz for Exactly Solvable Models

  • Yupeng Wang
  • Wen-Li Yang
  • Junpeng Cao
  • Kangjie Shi

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 1-22
  3. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 23-65
  4. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 67-91
  5. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 93-119
  6. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 121-196
  7. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 197-217
  8. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 219-250
  9. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 251-275
  10. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
    Pages 277-294
  11. Back Matter
    Pages 295-296

About this book

Introduction

This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix.  These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.

Keywords

Algebraic Bethe Ansatz Exact Solutions of Quantum Spin Models Fused Transfer Matrix Inhomogeneous T-Q Relation Non-diagonal Boundaries Open Su(n) Spin Chain Quantum Integrable Models Yang-Baxter Equation

Authors and affiliations

  • Yupeng Wang
    • 1
  • Wen-Li Yang
    • 2
  • Junpeng Cao
    • 3
  • Kangjie Shi
    • 4
  1. 1.Institute of PhysicsChinese Academy of SciencesBeijingChina
  2. 2.Institute of Modern PhysicsNorthwest UniversityXi'anChina
  3. 3.Institute of PhysicsChinese Academy of SciencesBeijingChina
  4. 4.Institute of Modern PhysicsNorthwest UniversityXi'anChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-46756-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-662-46755-8
  • Online ISBN 978-3-662-46756-5
  • About this book