Moscow Institute of Physics and Technology (State University)

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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.

Topics:

  • 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.

Instructor: Leonid Levitov Contact: This email address is being protected from spambots. You need JavaScript enabled to view it. http://www.mit.edu/~levitov/ 

course info Course content https://stellar.mit.edu/S/project/symmetry/index.html

Contacts

9 Institutskiy per., Dolgoprudny,
Moscow Region, 141700,
Russian Federation.
+7 (495) 408-45-54
info@phystech.edu

CPTS

Correspondence department:
+7 (495) 408-51-45
Intramural department:
+7 (495) 409-95-83