Thermodynamics & Correlation Functions
Turn spectral data into equilibrium states, finite-volume spectra, matrix elements and physical response.
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.
For a worked entrance available now, the Learn sequence From Bethe states to correlations calculates normalized matrix elements and an exact five-site spin correlation. Its complete finite final-state sum makes selection rules, degeneracy and frequency signs explicit; thermodynamic-limit methods remain future coverage here.
Learning sequences: Open Toda · The XXX spin chain · KdV solitons · Finite-ring TASEP
Chapter map
Readings and planned coverage
CHAPTER 01
Thermodynamic limits & root densities
Planned coverage
- Particle and hole densities
CHAPTER 02
Thermodynamic Bethe ansatz
Planned coverage
- Dressed energies and TBA equations
CHAPTER 03
Generalized equilibrium & charge completeness
Planned coverage
- Constructing generalized Gibbs ensembles
CHAPTER 04
Finite-volume spectra & nonlinear integral equations
Planned coverage
- Excited-state TBA
CHAPTER 05
Matrix elements & determinant formulas
Planned coverage
- Gaudin norms and determinant form factors
CHAPTER 06
Correlation functions & spectral response
Planned coverage
- Dynamical structure factors
CHAPTER 07
Low-energy & scaling descriptions
Planned coverage
- Dressed charge and Luttinger parameters
CHAPTER 08
Equilibrium entanglement
Planned coverage
- Ground-state entanglement in integrable chains