Many-Body Approaches to Quantum Fluids
Frequency
Only this year
Summary
Starting from a microscopic description, the course introduces to the physics of quantum fluids focusing on basic concepts like Bose-Einstein condensation, superfluidity, and Fermi liquid theory.
Content
The course combines basic theoretical methods and point out connections to more advanced computational approaches to tackle the quantum many-body problem.
Concentrating on quantum fluids as basic examples of quantum many body systems in condensed matter physics, I will give an introduction to the physics and phenomena arising due to the interplay of interaction and quantum statistics.
I will focus on the understanding from the microscopic point of view,
based on various theoretical tools from mean-field theory over diagramatic methods to variational and quantum Monte Carlo calculations.
Outline:
- Basics of statistical physics and quantum mechanics (some reminder)
- Dilute Bose gases: Mean-field treatments and beyond
- Macroscopic quantum effects: Bose-Einstein condensation and superfluidity
- Quasi-two-dimensional Bosons: Kosterlitz Thouless transition
- Normal Fermi liquids
- Many-body wave functions
More detailed calculations will be separated in excercises and computational approaches discussed in practical work.
Keywords
Bose-Einstein condenstation, superfluidity, Kosterlitz-Thouless transition, Fermi liquid theory, electron gas, quantum Monte Carlo methods, diagramatic expansions
Learning Prerequisites
Required courses
Statistical physics
Quantum mechanics
basic scientific programming
Resources
Bibliography
Quantum Liquids by A.J. Leggett
Methods of Quantum Field Theory in Statistical Physics by A.A. Abrikosov, L.P. Gorkov, and I.E. Dzyaloshinski
Theory of Interacting Fermi Systems by P. Nozières
Detailed course notes will be made available
Moodle Link
In the programs
- Exam form: Oral presentation (session free)
- Subject examined: Many-Body Approaches to Quantum Fluids
- Courses: 14 Hour(s)
- Exercises: 2 Hour(s)
- TP: 2 Hour(s)
- Type: optional