Lecture
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09 Feb 2026 (2h 00m)
GIUSEPPE La Rocca - Course (teaching activity) - Face to face
Seminario 1 Dr. Carusotto: Basics of Bose-Einstein Condensation. BEC as a phase transition. Correlation functions. Order parameter and Gross-Pitaevskii equation. Energy minimization: ground state. Examples: ferromagnetic vs. nematic order in spin-1 condensates; supersolids.
09 Feb 2026 (2h 00m)
GIUSEPPE La Rocca - Course (teaching activity) - Face to face
Seminario 2 Dr. Carusotto: Collective excitations and Bogoliubov dispersion. Spontaneously broken symmetries and Goldstone theorem: density and spin modes; multiple sound modes in supersolids. Quantum Bogoliubov theory and dilute gas regime. Landau criterion for superfluidity: response to moving defect.
10 Feb 2026 (2h 00m)
GIUSEPPE La Rocca - Course (teaching activity) - Face to face
Seminario 3 Dr. Carusotto: Formal definitions of superfluidity: condensation in rotating systems, metastability of supercurrents, longitudinal vs. transverse current fluctuations. Relation to Meissner effect in superconductivity. Sound waves on flowing condensates: quantum field theory on a curved space-time. Analog black holes and analog Hawking emission. Correlated emission of phonon pairs. Quantum hydrodynamics.