SoSe 2021
Ultracold Quantum Gases II
This is a course within the Physics Master Program.
It is open to all Physics Master students from TU and LMU, as well as IMPRS-QST students. Interested Bachelor students are also welcome to join the course.
4h Lecture + Tutorials, 9 ECTS points (LMU system) or 10 ECTS points (TU system)
Teaching assistants
Content
I. Review of degenerate quantum gases
- Bose-Einstein and Fermi-Dirac statistics
- Bose-Einstein Condensates
- Interacting Bose gases
- Ideal Fermi gases
- Cold collisions and Feshbach resonances
- Interacting Fermi Gases
- BEC-BCS crossover
II. Ultracold atoms in optical lattices (non-interacting)
- Optical potentials, Bloch waves, tight-binding model
- Wavepacket dynamics, Bloch oscillations
III. Hubbard models
- Bose-Hubbard model
- Phase diagram Bose-Hubbard model, detection techniques
- Quantum Gas Microscopy, Fermi-Hubbard model
- Quantum magnetism
IV. Geometric phases & Topology
- Geometric phases: classical and quantum
- Examples for geom. phases: Aharonov-Bohm effect, generic two-level system
- Zak phase, lattices with two-site unit cell: SSH, graphene
- SSH and Hofstadter model
- Anomalous velocity and topological charge pumps
- Haldane model, realization of topological models using Floquet engineering
- High-frequency limit, Floquet Hamiltonian
- Experiments in double wells, engineering of Peierls phases and artificial magnet fields
V. Long-range interactions
- Quantum gases with dipole-dipole interactions, Rydberg atoms
- Experiments with Rydberg atoms
VI. Thermalization of isolated quantum systems
- The Anderson problem, localization of non-interacting particles in the presence of disorder
- Many-body localization
Time & Place
online via zoom
- Tuesday, 2-4 pm c.t.
- Thursday, 4-6 pm c.t.
All material will be provided via moodle (access details are communicated by e-mail to all registered participants).
Prerequisites
Basic knowledge in atomic physics and quantum mechanics.