Trainings-, Support- und Qualifizierungsprogramm

Bosonization and fermionization in condensed matter physics

Dozent:innen: Jun.-Prof. Dr. Jamir Marino
Kurzname: 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.de

Empfohlene Literatur

Reference texts:

  1. T. Giamarchi, Quantum physics in one dimension (Cambridge, 2004)
  2. 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:

  1. Jordan-Wigner and Majorana fermionisation;
  2. equilibrium and non-equilibrium spin wave theory;
  3. bosonization of interacting fermionic and bosonic wires (Luttinger liquids);
  4. quantum impurity problems (Anderson problem, X-ray edge singularities, Kane-Fisher transport, Kondo models);
  5. 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

Zusatzinformationen