Course: "Symmetry, Topology and Coherence in Condensed Matter Physics"
The aim of the course is to two-fold. First goal will be to discuss the concepts of condensed matter theory such as symmetry, topology and their relation to different types of ordering in many-particle systems. Second goal will be to provide a gentle introduction to methods of quantized fields and their applications in many-body physics.
While the course is intended for students with a wide range of interests, many examples will be drawn from condensed matter physics and atomic physics.
- Symmetries and broken symmetries. Conservation laws, hydrodynamics.
- Symmetries and phase transitions. Goldstone theorem.
- Second quantization, path integrals in QM.
- Topology of Bloch bands. Chern invariant and quantization of observables.
- Symmetry breaking (SB). Spontaneous SB, phase transitions. Superfluidity, magnetism.
- Anomalous SB. Chiral anomaly and scaling anomaly in condensed matter systems.