Ultra Cold Quantum Gases 2
Module version of SS 2020
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|SS 2022||SS 2020||SS 2018||SS 2011|
PH2125 is a semester module in English language at Master’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Specific catalogue of special courses for condensed matter physics
- Complementary catalogue of special courses for nuclear, particle, and astrophysics
- Complementary catalogue of special courses for Biophysics
- Complementary catalogue of special courses for Applied and Engineering Physics
If not stated otherwise for export to a non-physics program the student workload is given in the following table.
|Total workload||Contact hours||Credits (ECTS)|
|150 h||45 h||5 CP|
Responsible coordinator of the module PH2125 in the version of SS 2020 was Stephan Dürr.
Content, Learning Outcome and Preconditions
III. BEC of the ideal gas
13. Coherence properties
14. Interference of condensates
IV. The weakly interacting BEC
15. Cold collisions in dilute gases
16. Gross-Pitaevskii equation
17. Mean-field results for the atomic density
18. Bogoliubov excitations
V. Strongly interacting systems
21. Optical lattices
22. Feshbach resonances and molecule association
23. Fermions and BCS-BEC crossover
After successful completion of the module the students are able to:
- understand the basic properties of an ideal Bose-Einstein condensate
- apply models for the description of weak interactions in a condensate in various situations
- understand physical effects of ultracold gases in the strongly-interacting regime
Basic knowledge in quantum mechanics (PH0007), atomic physics (PH0016), electrodynamics (PH0006), and statistical physics (PH0008). Previous participation in „Ultracold quantum gases 1“ (PH2124) is helpful but not mandatory.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VU||4||Ultra cold quantum gases II||
singular or moved dates
and dates in groups
Learning and Teaching Methods
This module consists of a lecture and an exercise class.
In the thematically structured lecture the learning content is presented. With cross references between different topics, the concepts relevant for the covered topics are explained. In scientific discussions the students are involved to stimulate their analytic intellectual strength. Self-study of textbooks, review articles, and original literature, as e.g. referenced in the lectures notes provided, is an important part of the student’s learning process.
In the exercises the learning content is deepened using problem examples. Thus the students are able to apply and explain the learned physics knowledge independently.
PowerPoint, blackboard, lecture notes, tutorial sheets
- C.J. Pethick & H. Smith: Bose-Einstein condensation in dilute gases, Cambridge University Press, (2008)
- L. Pitaevskii & S. Stringari: Bose-Einstein Condensation, Clarendon Press, (2003)
Description of exams and course work
There will be an oral exam of 25 minutes duration. Therein the achievement of the competencies given in section learning outcome is tested exemplarily at least to the given cognition level using comprehension questions and sample calculations.
For example an assignment in the exam might be:
- Where does the Gross-Pitaevskii equation come from?
- Which properties do quantized vortices in a BEC have?
- How does the quantum phase transition to the Mott insulator come about?
Participation in the exercise classes is strongly recommended since the exercises prepare for the problems of the exam and rehearse the specific competencies.
The exam may be repeated at the end of the semester.