Fabio Franchini

Marie Curie Fellow - SISSA/Massachusetts Institute of Technology

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Bethe Ansatz Class

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Introduction to Bethe Ansatz

a class for the SISSA Ph.D. in Statistical Physics

 

Scattering Plot

 

Typed Notes for the Class

(An Introduction to Integrable Techniques

for one-dimensional quantum systems

136 pages, Last Update: September 2016)

 

Main topics

The 1-dimensional quantum XY model

The Lieb-Liniger model

The Heisenberg chain: Bethe Ansatz & string solution

The XXZ spin chain: phase diagram and excitations

Transfer Matrix Method for the 2D classical 6-vertex model

Elements of Algebraic Bethe Ansatz

Effective field theories: Bosonization & CFT using Bethe Ansatz