Quantum Many-Body Systems
Develop the physical organization, construction and excitation content of integrable quantum matter.
This volume will develop the subjects in the chapter map below. Use the outline to locate the methods and examples you want to study; the individual readings are still being developed.
Learning sequences: Open Toda · The XXX spin chain · KdV solitons · Finite-ring TASEP
Readings and planned coverage
CHAPTER 01
Spin chains & quantum magnets
Planned coverage
- Magnons, spinons and bound states
CHAPTER 02
Continuum gases & multicomponent matter
Planned coverage
- Spin and charge degrees of freedom in quantum gases
CHAPTER 03
Fermions & correlated electrons
Planned coverage
- Bethe-ansatz structure of the one-dimensional Hubbard model
CHAPTER 04
Pairing & Gaudin systems
Planned coverage
- Richardson–Gaudin pairing
CHAPTER 05
Long-range models & particle dualities
Planned coverage
- Calogero–Sutherland quantum systems
CHAPTER 06
Boundaries, impurities & inhomogeneity
Planned coverage
- Integrable impurity problems
CHAPTER 07
Quantum circuits & open systems
Planned coverage
- Constructing Yang–Baxter quantum circuits