PhD School of Physics

University of Padova, 2023-2024

Lecturer: Luca Salasnich



The course gives an introduction to quantum phenomena with atoms and ions (and also superconductors) which are currently under intensive investigations: Bose-Einstein condensation, topological quantum states, macroscopic quantum tunneling and Josephson effect, and BCS-BEC crossover. Both experimental and theoretical methods and techniques will be discussed and analyzed. Some lectures will be given by Prof. Francesco Minardi (Univ. of Bologna).
Period: January 2024 - February 2024.
Exam: Seminar of the student on a specific topic of the course.


1. Bose-Einstein condensation with ultracold alkali-metal atoms (4 h).
2. Experimental trapping techniques for atoms and ions (4 h).
3. Topological states with ultracold atoms: quantized vortices and dark solitons. Bright solitons (4 h).
4. Superfluid hydrodynamics for bosons and fermions. Macroscopic quantum tunneling and Josephson junctions (4 h).
5. Two-dimensional systems: topological phase transition of Kosterlitz-Thouless (2 h).
6. BCS theory for superconductors and fermionic atoms. Ginzburg-Landau equation (2 h).
7. BCS-BEC crossover for atoms (4 h).


Suggested books

[b1] L. Salasnich, Quantum Physics of Light and Matter, sections 6.3, 6.6, 7.2-7.8, 8.2-8.4 (Springer, 2017).
[b2] H.T.C. Stoof, K.B. Gubbels, D.B.M. Dickerscheid, Ultracold Quantum Fields, sections 15.3 and 15.4 (Springer, 2009).
[b3] D. McKay, B. De Marco, Cooling in strongly correlated optical lattices: prospects and challenges, Rep. Prog. Phys. 74, 054401 (2011).