Bosonization and fermionization in condensed matter physics
Dozent:innen: Jun.-Prof. Dr. Jamir MarinoKurzname: 08.128.847
Kurs-Nr.: 08.128.847
Kurstyp: Vorlesung/Übung
Format: online
Voraussetzungen / Organisatorisches
It is enough to have a bachelor of science in physics, knowledge of quantum mechanics, and basic of statistical mechanics.Digitale Lehre
For further information regarding the online learning platform, please send an email to Jun.-Prof Dr. Marino jamarino@uni-mainz.deEmpfohlene Literatur
Reference texts:- T. Giamarchi, Quantum physics in one dimension (Cambridge, 2004)
- A. Altland and B. Simons, Condensed Matter Field Theory (Cambridge, 2010)
Inhalt
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)
Zusätzliche Informationen
The course targets students in the curricula of condensed matter, solid state physics, and quantum optics with interest for theory.Digitale Lehre
Kurzbeschreibung :
Traditional teaching
Beschreibung:
The course will be held traditionally, in person