Advanced Computational Physics – Overview
About the lecture
Time and placeTue 16-18h, Theresienstr. 37, A 449
Thurs 14-16h, Theresienstr. 37, A 348
- 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)
Lecturer: Priv. Doz. Dr. F. Heidrich-Meisner
Phone: 089 / 2180-4594
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
Master students Physics, TMP, Doctoral students
- 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