Московский физико-технический институт (государственный университет)



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.

Instructor: Leonid Levitov Contact: Этот адрес электронной почты защищён от спам-ботов. У вас должен быть включен JavaScript для просмотра. http://www.mit.edu/~levitov/ 

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


141700, Московская облаcть,
г. Долгопрудный,
Институтский пер., 9.
+7 (495) 408-45-54


Заочное отделение:
+7 (495) 408-51-45
Очное отделение:
+7 (499) 755-55-80


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