Module 1 : Overview of Course
Lecture 1 : Introduction
 
Below, I provide the detailed lecture-by-lecture breakup of the course contents.

Module I. Overview of course

  1. Overview of course and index of topics (this lecture).

Module II. Conceptual overview and linear response theory.

  1. Review of undergraduate Statistical Physics (ensemble theory etc), and preview of new ideas (emergent phenomena).
  2. Overview of important ideas needed for a deeper study of phase transitions and critical phenomena in low temperature matter (spontaneously broken symmetry, long range order, Goldstone modes, broken ergodicity, diverging timescales etc).
  3. Analysis of thermodynamic fluctuations. Linear response theory: Derivation of linear response kernel from time dependent perturbation theory.
  4. Linear response theory: Properties of linear response kernel (analyticity in upper half plane, Kramers-Kronig type dispersion relations).
  5. Linear response theory: Fluctuation-dissipation theorem. Broad-brush introduction to systems of interest in condensed matter physics.