Superfluidity in ultracold Bose and Fermi atoms

Superfluidity in ultracold Bose and Fermi atoms

The course is focused on experimental and theoretical results in the study of superfluidity in di- lute Bose and Fermi gases, and its relationship with analogous phenomena in condensed matter systems.

• Introduction to quantum degenerate gases: Bose and Fermi statistics, BEC in an ideal gas.
• Weakly interacting Bose gas. Gross-Pitaevskii equation, superfluid velocity.
• Elementary excitations in a weakly interacting Bose gas, Landau criterion for superfluidity.
• Superfluidity in liquid HeII. Experimental techniques to cool atoms: laser cooling and evapora- tive cooling.
• Evidences for a BEC state in trapped ultracold Bose gases.  Experiments on superfluidity and quantum vortices.
• Cooling Fermi gases to quantum degeneracy. Bose-Fermi mixtures and sympathetic cooling.
• Superfluidity of a Fermi gas: Cooper pairing.  BCS theory for superconducting metals, liquid
3He, and ultracold atoms.
• Scattering theory for ultracold atoms. Feshbach resonances.
• Experiments on superfluidity in Fermi gases, BCS-BEC crossover.
• Spin-balanced Fermi gases and Stoner instability.
• Two-dimensional superfluids and Berezinskii-Kosterlitz-Thouless phase transition: theory and experiments.
• Bright and dark solitons in quasi one-dimensional superfluids: theory and experiments.

Schedule: First lecture on November 28, then continuing in December and January (two lectures each week).


Exams: Multiple choice final test plus seminar on a selected research topic.