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Strongly Correlated Quantum Systems in Atomic and Condensed Matter Physics

Module PH2224

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

PH2224 is a semester module in English language at Master’s level which is offered in winter semester.

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
150 h 75 h 5 CP

Responsible coordinator of the module PH2224 is Michael Knap.

Content, Learning Outcome and Preconditions


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

Learning Outcome

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Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VU 4 Strongly Correlated Quantum Systems in Atomic and Condensed Matter Physics Knap, M. Mon, 10:00–12:00, ZNN 0.001
and dates in groups

Learning and Teaching Methods

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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Module Exam

Description of exams and course work

The learning outcome is tested using with equal weight 1. the written solutions to the exercise problems and 2. final project work with presentation or the results.

Exam Repetition

The exam may be repeated at the end of the semester.

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