Course on two-dimensional quantum gases

• URL: http://arxiv.org/abs/2609.17097v1
• Date: Tue, 15 Sep 2026 12:30:10 GMT
• Title: Course on two-dimensional quantum gases
• Abstract summary: This course is prepared for the So Paulo ICTP-SAIFR IVth School on Light and Cold Atoms.<n>The first introductory lecture addresses Bose-Einstein condensation in an ideal gas.<n>The second lecture is devoted to the main features of two-dimensional quantum gases.<n>The third lecture has taken the form of a seminar on fast rotating quasi two-dimensional Bose gases and thermal melting of the vortex lattice.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This course on two-dimensional quantum gases, prepared for the S{ã}o Paulo ICTP-SAIFR IVth School on Light and Cold Atoms, is organized into three lectures. The first introductory lecture addresses Bose-Einstein condensation in an ideal gas, the effect of interactions in the weakly interacting limit, Gross-Pitaevskii equation and its hydrodynamic formulation, as well as superfluidity. The second lecture is devoted to the main features of two-dimensional quantum gases: importance of the interactions, enhanced phase fluctuations and the emergence of a quasi long-range order, superfluidity through the Berezinskii-Kosterlitz-Thouless mechanism, scaling symmetry. The third lecture has taken the form of a seminar on fast rotating quasi two-dimensional Bose gases and thermal melting of the vortex lattice. The slides accompanying these notes can be found on the school website: https://www.ictp-saifr.org/slca2025/.

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