"Bose-Einstein condensation in dilute gases", C. J. Pethick & H. Smith, Cambridge University Press (1997)
Quantum paradoxes, Aharanov and Rohrilch, Wiley (2005)
Quantum theory: concepts and methods, Peres, Kluwer (1995)
Topics in advanced quantum mechanics, Holstein, Addison-Wesley (1992)
Learning Objectives
The course is intended to explain current research, both experimental and theoretical, on quantum gases, whereby with ultracold atoms phenomena like superfluidity, quantum phase transitions and entanglement are investigated.
Prerequisites
For optimal attendance, it is highly advisable that the course Ultracold Atoms has been taken. Knowledge of statistical mechanics and many-body quantum mechanics is also advisable.
Teaching Methods
Blackboard
Type of Assessment
Oral exam. The exam starts with the presentation of a research article and proceeds with questions.
Course program
- Degeneracy, Bose-Einstein e Fermi-Dirac statistics
- Gross-Pitaevskii equation:
- Interacting Bose gas
- Collective excitations and vortices
- Superfluid mixtures
- Interacting particles in periodic potential
- Quantum phase transition between superfluid and Mott insulator
- Bose- Hubbard model, mean field
- BEC-BCS crossover in degenerate Fermi gas
- Quantum magnetism with atoms
- Adiabatic approximation
- Paradoxes in quantum mechanics
- Entanglement generation and detection in atomic systems
- Quantum interferometry