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Advanced Computational Physics – Overview

About the lecture

Time and place

Tue 16-18h, Theresienstr. 37, A 449
Thurs 14-16h, Theresienstr. 37, A 348

News

  • The final (written) exam will take place on Friday, July 29, 10am-12pm, Room A318!
  • Your presentations on the programming projects will take place on:

    Projects 1 & 2: Thursday, July 14, 2pm ct (room A348)

    Projects 3 & 4: Friday, July 15, 2pm ct (room A318)

Contact

Lecturer: Priv. Doz. Dr. F. Heidrich-Meisner
Room: A401
Phone: 089 / 2180-4594
Email: Heidrich-Meisner@physik.uni-muenchen.de

Contents

This lecture will provide an introduction into numerical methods that are key in the theoretical treatment of quantum many-body systems defined on a lattice (such as the Heisenberg, Hubbard, t-J model and their relatives).

The course will feature tutorials that will be scheduled approximately every other week.

The course will contain:

  • Introduction to quantum magnetism
  • Introduction to Python
  • Exact diagonalization and applications
  • Krylov subspace methods, Lanczos algorithm
  • Time evolution using exact diagonalization techniques
  • Classical Monte Carlo and phase transitions
  • Introduction to Quantum Monte Carlo, Stochastic Series Expansion
  • Matrix-product states and density matrix renormalization group method
  • Entanglement properties of many-body systems
  • Optional: Dynamical mean field theory
  • Optional: Series expansion techniques

Target group

Master students Physics, TMP, Doctoral students

Useful literature

  • A. Sandvik: Computational Studies of Quantum Spin Systems; AIP Conf. Proc. 1297, 135,2010, arXiv:1101.3281
  • U. Schollwoeck: The density-matrix renormalization group in the age of matrix product states , Annals of Physics 326, 96 (2011), arXiv:1008.3477
  • Additional literature will be announced later

Crediting of the course

The course will be credited (6 ECTS points) by a written exam and a programming project including a presentation in class.
Details will be announced in due time

Verantwortlich für den Inhalt: Fabian Heidrich-Meisner