Training, Support and Qualification Program

Bosonization and fermionization in condensed matter physics

Instructors: Jun.-Prof. Dr. Jamir Marino
Shortname: 08.128.847
Course No.: 08.128.847
Course Type: Vorlesung/Übung
Format: online

Requirements / organisational issues

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

Digital teaching

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

Recommended reading list

Reference texts:

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

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:

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)
   

Additional information

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

Digitale Lehre

Short Description :
Traditional teaching

Description:
The course will be held traditionally, in person

Additional Information