Nonequilibrium Dynamics & Hydrodynamics
Explain relaxation, transport, evolving quasiparticle fluids and the limits of exact integrable dynamics.
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
Quenches & integrable initial states
Planned coverage
- Overlaps with integrable initial states
CHAPTER 02
Relaxation, dephasing & the quench action
Planned coverage
- The quench-action method
CHAPTER 03
Generalized hydrodynamics
Planned coverage
- Generalized hydrodynamic equations
CHAPTER 04
Transport & hydrodynamic corrections
Planned coverage
- Drude weights and diffusion
CHAPTER 05
Fluctuations & counting statistics
Planned coverage
- Full counting statistics of transported charge
CHAPTER 06
Entanglement growth & operator dynamics
Planned coverage
- Quasiparticle descriptions of entanglement growth
CHAPTER 07
Driving, open evolution & steady states
Planned coverage
- Boundary-driven integrable dynamics
CHAPTER 08
Weak integrability breaking & prethermalization
Planned coverage
- Collision terms for nearly integrable systems