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Instructors: Jun.-Prof. Dr. Jamir Marino
Event type:
online: Lecture/practice class
Displayed in timetable as:
08.128.847
Hours per week:
4
Credits:
6,0
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Requirements / organisational issues:
It is enough to have a bachelor of science in physics, knowledge of quantum mechanics, and basic of statistical mechanics.
Contents:
This course introduces a broad set of techniques for solving one-dimensional interacting quantum many body systems, with applications to quantum magnets, impurity problems, light-matter coupled models. The lectures focus on developments of methods, while exercise classes aim at applying the techniques to non-equilibrium dynamics. The course targets students in the curricula of condensed matter, solid state physics, and quantum optics with interest for theory.
Topics:
- Jordan-Wigner and Majorana fermionisation;
- equilibrium and non-equilibrium spin wave theory;
- bosonization of interacting fermionic and bosonic wires (Luttinger liquids);
- quantum impurity problems (Anderson problem, X-ray edge singularities, Kane-Fisher transport, Kondo models);
- introduction to Bethe Ansatz (Lieb-Liniger gas, Heisenberg magnets)
Recommended reading list:
Reference texts:
- T. Giamarchi, Quantum physics in one dimension (Cambridge, 2004)
- A. Altland and B. Simons, Condensed Matter Field Theory (Cambridge, 2010)
Additional information:
The course targets students in the curricula of condensed matter, solid state physics, and quantum optics with interest for theory.
Digital teaching:
For further information regarding the online learning platform, please send an email to Jun.-Prof Dr. Marino jamarino@uni-mainz.de
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