Ph 231 ab
Advanced Topics in Statistical Mechanics
9 units (3-0-6)
|
second, third terms
Prerequisites: Ph 127 or equivalent.
The course covers rigorous results in classical and quantum statistical mechanics of lattice systems. Winter quarter: basic lattice models, existence of the thermodynamic limit, phase transitions at positive temperature, Hohenberg-Mermin-Wagner and Goldstone theorems. Spring quarter: C*-algebraic approach to statistical mechanics, locality and dynamics in quantum systems (Lieb-Robinson bounds), topological invariants of gapped quantum systems at zero temperature, Symmetry Protected Topological Phases. Not offered 2025-26.
Published Date:
Aug. 28, 2025