Explore a comprehensive lecture on the Bethe Ansatz, a powerful technique in integrable systems, delivered by Fabio Franchini at the International Centre for Theoretical Sciences. Delve into key concepts like spin excitations in integrable vs non-integrable models, prethermalization, beta equations, and particle factorization. Examine the algebraic approach, including the 6-vertex model, and engage with a Q&A session. Gain insights into advanced topics in condensed matter and statistical physics through this 1 hour 26 minute pedagogical presentation, part of a broader program on integrable systems in mathematics and physics.
Basic Lectures on Bethe Ansatz - Pedagogical Lecture 2
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Condensed Matter and Statistical Physics
Basic Lectures on Bethe Ansatz Pedagogical Lecture 02
What is the difference between a spin onexcitation in an integrable model andone in a non integrable model
Prethierhalization
Equation: Non integrable model
Beta Equations
Derivatives
Convolution: Fourier space
Momentum: Particle factoriration
Hilbert space
What you expect the energy-momentum to be at the end of our calculation?
Motivation - Algebraic approach
6 vertex model/Ice model
Assumption
Q&A
Taught by
International Centre for Theoretical Sciences
