Models of Quantum Matter A First Course on Integrability and the Bethe Ansatz

Hans-Peter Eckle, Adjunct Professor, Humboldt Study Centre, Ulm University, Germany

Hans-Peter Eckles is Adjunct Professor at Ulm University. His research is focused on exactly solvable and integrable models of strongly interacting quantum systems, especially quantum optical models in collaboration with University of Gothenburg, Sweden. He organises and teaches at summer schools in Ireland and Turkey, and is involved with the development and teaching of courses in philosophy of science and research ethics at Ulm University and invited courses on research ethics (e.g. in Aachen, Berlin, Dresden, Freiburg, Göttingen, and Konstanz).
Previously, he has taught and conducted research in theoretical physics at Princeton University, University of Arizona, USA, Australian National University and University of New South Wales, Sydney, University, Universities of Tours and Nancy, France, University of Gothenburg, Sweden, University of Jyväskylä, Finland, and University of Hannover and Free University Berlin, Germany.

1. IntroductionPart 1 Methods and Models in the Theory of Quantum Matter2. Quantum Many-Particle Systems and Second Quantization3. Angular Momentum4. Equilibrium Statistical Mechanics5. Phase Transitions, Critical Phenomena, and Finite-Size Scaling6. Statistical Mechanics and Quantum Field Theory7. Conformal Symmetry in Statistical Mechanics8. Models of Strongly Interacting Quantum MatterPart 2 Algebraic Bethe Ansatz9. Ice Model10. General Square Lattice Vertex Models11. Six-Vertex Model12. Quantum Tavis-Cummings ModelPart 3 Coordinate Bethe Ansatz13. The Anisotropic Heisenberg Quantum Spin Chain14. Bethe Ansatz for the Anisotropic Heisenberg Quantum Spin Chain15. Bose Gas in One Dimension: Lieb-Liniger ModelPart 4 Electronic Systems: Nested Bethe Ansatz16. Electronic SystemsPart 5 Thermodynamic Bethe Ansatz17. Thermodynamics of the Repulsive Lieb-Liniger Model18. Thermodynamics of the Isotropic Heisenberg Quantum Spin ChainPart 6 Bethe Ansatz for Finite Systems19. Mathematical Tools20. Finite Heisenberg Quantum Spin ChainReferences Index