Quantum Spin Systems (An introduction to the general theory,
Frustration-Free models, and Gapped Quantum Phases)
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
MA5020 is a semester module in English language at Master’s level which is offered once.
This module description is valid from WS 2015/6 to SS 2016.
|Total workload||Contact hours||Credits (ECTS)|
|90 h||30 h||3 CP|
Content, Learning Outcome and Preconditions
ii. The introduction of the AKLT model in 1988 by Affeck, Kennedy, Lieb, and Tasaki set in motion a series of new developments in the study of quantum spin systems that
continue to have a profound impact on research on quantum spin models today. We will discuss the theory of Matrix Product States (aka Finitely Correlated States), Tensor Networks, the Density Matrix Renormalization Group, and techniques to
estimate the spectral gap above the ground state.
iii. The third part of the course will focus on specific properties of gapped ground states and their phase structure, guided by the analysis of specific models. This will include models with topological order. In each case we will study the ground states, the spectral gap above the ground state and the nature of the elementary excitations. Of particular interest are the anyonic excitations associated with topological order
in two dimensional models.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||2||Quantum Spin Systems||Nachtergaele, B.||
Tue, 10:15–11:45, MI 03.08.011
Thu, 10:15–11:45, MI 03.06.011
Learning and Teaching Methods
Description of exams and course work
The exam may be repeated at the end of the semester.