1. komponenta

Lecture type	Total
Lectures	30
Exercises	15

* Load is given in academic hour (1 academic hour = 45 minutes)

The objective of this course is to introduce students to the physics of quantum liquids, providing a theoretical framework that includes Bose-Einstein condensation, superfluidity, Fermi liquid theory, and superconductivity. The course emphasizes the common concepts, such as order parameters, broken symmetry, and quasiparticles. Students will develop the physical and mathematical tools to describe both bosonic and fermionic quantum fluids, including Bogoliubov and Gross-Pitaevskii frameworks, Landau's Fermi liquid theory and the Ginzburg-Landau, and BCS theories of superconductivity. Students will develop the ability to critically evaluate theoretical models and their range of validity, preparing them for research in condensed matter physics and quantum many-body theory.

Week 1: Introduction to quantum liquids.
Week 2: Bose-Einstein condensation in the ideal gas.
Week 3: Bogoliubov theory and the Gross-Pitaevskii equation.
Week 4: Quantum hydrodynamics. Cold atom experiments.
Week 5: Phenomenology of superfluid He-4 and the two-fluid model.
Week 6: Landau's superfluidity criterion and the phonon-roton spectrum.
Week 7: Landau's Fermi liquid theory, quasiparticles and zero sound.
Week 8: He-3: from Fermi liquid to p-wave superfluid.
Week 9: Vortices in superfluids.
Week 10: Introduction to superconductivity and Ginzburg-Landau theory.
Week 11: The Abrikosov vortex lattice. Type I/II distinction.
Week 12: Fundamentals of microscopic theory of superconductivity. Macroscopic quantum phenomena.
Week 13: Josephson effect, flux quantization, SQUID.
Week 14: The BCS-BEC crossover and the unitary Fermi gas.
Week 15: Final presentations.

Izborni predmeti - Regular study - Physics