08.128.847 Bosonization and fermionization in condensed matter physics

Lehrende/r: Jun.-Prof. Dr. Jamir Marino

Veranstaltungsart: online: Vorlesung/Übung

Anzeige im Stundenplan: 08.128.847

Semesterwochenstunden: 4

Credits: 6,0

Unterrichtssprache: Englisch

Min. | Max. Teilnehmerzahl: - | -

Voraussetzungen / Organisatorisches:
It is enough to have a bachelor of science in physics, knowledge of quantum mechanics, and basic of statistical mechanics.

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)
  

Empfohlene Literatur:
Reference texts:

• T. Giamarchi, Quantum physics in one dimension (Cambridge, 2004)
  
• A. Altland and B. Simons, Condensed Matter Field Theory (Cambridge, 2010) 
  

Zusätzliche Informationen:
The course targets students in the curricula of condensed matter, solid state physics, and quantum optics with interest for theory. 

Digitale Lehre:
For further information regarding the online learning platform, please send an email to Jun.-Prof Dr. Marino jamarino@uni-mainz.de