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Strongly Correlated Quantum Systems in Atomic and Condensed Matter Physics

Course 0000003396 in WS 2015/6

General Data

Course Type Lecture w/ Exercise
Semester Weekly Hours 4 SWS
Organisational Unit Collective Quantum Dynamics
Lecturers Michael Knap
Dates Mon, 10:00–12:00, ZNN 0.001
and 14 dates in groups

Further Information

Courses are together with exams the building blocks for modules. Please keep in mind that information on the contents, learning outcomes and, especially examination conditions are given on the module level only – see section "Assignment to Modules" above.

additional remarks This course will focus on recent progress in realizing strongly-correlated many-body systems with ultracold atoms. Both theoretical ideas and recent experimental results will be reviewed. Throughout the class the relations between many-body systems of ultracold atoms and condensed matter will be emphasized. We will also discuss unique features of ultracold atomic systems, such as control of band structures and interaction, availability of new probes, and the possibility to study nonequilibrium quantum dynamics and disordered quantum systems. A tentative outline of lectures: 1) Introduction to many-body physics with cold atoms 2) Bose-Einstein condensation of weakly interacting atoms 3) Noninteracting atoms in optical lattices: Engineering band structures and topological states 4) Interacting lattice bosons: phase diagram and nonequilibrium dynamics 5) Low energy collisions and Feshbach resonances 6) Ultracold Fermi gases: BEC-BCS crossover 7) Realizing quantum impurity systems with cold atoms: orthogonality catastrophe and beyond 8) Quantum magnetism with ultracold atoms 9) Interferometric probes of many-body systems 10) Disordered and interacting many-body systems: Many-body localization The practical classes support the lectures with tutorials and problem sets. The tutorials cover basic theoretical concepts of many-body physics such as an (i) introduction to second quantization, (ii) Green's functions and linear response theory, and (iii) Fermi's Golden rule, etc. The problem sets will help to understand and deepen the physical concepts presented in the lecture.
Links TUMonline entry
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