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0000003396 15W 4SWS L Strongly Correlated Quantum Systems in Atomic and Condensed Matter Physics   Hilfe Logo

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Strongly Correlated Quantum Systems in Atomic and Condensed Matter Physics 
0000003396
Lecture w/ Exercise
2 Lecture/2 Exercise
Winter semester 2015/16
Associate Professorship of Collective Quantum Dynamics (Prof. Knap)
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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.
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English
lecture with exercises
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