Summer Semester 2019

The 2019-2020 winter lecture courses run from October 14th - December 21st 2019 and from January 6th - February 8th 2020. The following lectures are offered:

General lecture: Selected Analytic Tools for Quantum Many-body Physics

lecturer:Prof. Dr. Jan Budich
time:Tuesdays 14:50-16:20; Wednesdays 14:50-16:20
location:Tuesdays: REC/B214; Wednesdays: REC/C213
content:

In this lecture, analytical tools for quantum many-body physics will be theoretically discussed and practically applied. We will cover many-body perturbation theory both in thermal equilibrium and out of equilibrium, as well as methods for the exact solution of correlated low-dimensional systems, such as bosonization. The participants will be guided by accompanying exercises towards independently solving interesting quantum many-body problems using the aforementioned methods.

format:Every 4th lecture will be a tutorial session.

General lecture: Chaos in higher-dimensional systems

lecturer:Prof. Dr. A. Bäcker (TUD)
time:Mondays 14:50-16:20 , Tuesdays 14:50-16:20 
location:BZW A120 Zellescher Weg 17 (Mondays) WIL/A221 (Tuesdays)
content:

N-body problem; Hamiltonian systems, invariant objects (fixed points, periodic trajectories, invariant tori, and stable and unstable manifolds), nonlinear resonances, bifurcations, Arnold diffusion. Examples: coupled maps, Fermi-Pasta-Ulam-Tsingou problem, spin chains, ...

format:Every 4th lecture will be a tutorial session.

General lecture: Theory of superconductivity

lecturer: Prof. Dr. C. Timm (TUD)
time:Tuesdays 13:00-14:30, Thursdays 11:10-12:40 
location:SE2/201 (Tuesdays) REC/B214 (Thursday)
content:

Basic experiments; Review of Bose-Einstein condensation; Electrodynamics of superconductors: London and Pippard theories; Ginzburg-Landau theory, Anderson-Higgs mechanism; Vortices, Kosterlitz-Thouless theory; Origin of the electron-electron attraction; Cooper instability and BCS theory; Consequences of Cooper pairing: Thermodynamics, tunneling, nuclear resonance; Josephson effects; Bogoliubov-de Gennes equation for inhomogeneous superconductors; Unconventional superconductivity, cuprate and pnictide superconductors; Andreev scattering and Andreev bound states; Topological superconductors

format:Every 4th lecture will be a tutorial session.

General lecture: Time-Series Analysis

lecturer:Prof. H Kantz (MPI-PKS)
time:Mondays: 14:50-16:20; first lecture October 28th
location:MPI-PKS Seminar Room 3
content:The course will present concepts for the statistical analysis of data with a particular focus on time series data, i.e., data, where the sequence in which they occur contains part of the information. After basic concepts for the characterization of distributions (mean value, standard deviation, higher moments) and some introduction into statistical inference, different aspects of time dependence will be discussed. A central message will be that with a finite amount of data one can never prove anything, and that data analysis therefore is done in term of hypothesis testing and rejection of a null.

Special lecture: Open Quantum System Dynamics

lecturer: K. Luoma
time:Wednesdays 16:40-18:10.
location:BZW/A120
content:An open quantum system is a quantum system interacting with its surroundings. They are frequently encountered since no quantum system can be consider completely isolated from it's environment. Typically the coupling of the open system to it's external environment leads to decoherence and dissipation which is detrimental to quantum properties such as entanglement. During the last few decades incredible technological advances have made it possible to even experimentally study open quantum system dynamics. In this course we give an introduction to the theory of open quantum systems focusing on stochastic descriptions of the dynamics. These, so called quantum trajectory unravellings of the dynamical map describing the open system dynamics provide additional physical insight to decoherence, continuous quantum measurements etc. We start by first reviewing the basics of Hilbert space quantum mechanics, quantum measurements and stochastic processes. Then we discuss Markovian and non-Markovian open quantum system dynamics and their stochastic descriptions. Throughout the course we will highlight the concepts with relevant physical examples.

Special lecture: Concepts of Molecular Modelling

lecturer: Prof. Dr. G. Cuniberti, Dr. R. Gutierrez
time:Tuesdays 09:20-10:50.
location:

HSZ/403/H

content:

The course introduces methodologies to investigate the electronic and structural properties of a broad spectrum of physical systems. The course is accompanied by lab classes. The following topics will be discussed:

  • Adiabatic approximation
  • Introduction to electronic structure methods
  • Normal modes
  • Introduction to statistical mechanics
  • Molecular dynamics
  • Monte Carlo Simulations

Special lecture: Magnetism on the nanoscale

lecturer:Dr. J. Dufouleur, Dr. T. Mühl, Dr. S. Wurmehl (IFW)
time:Mondays 16:40-18:10 from 09.10.17
location:IFW D2E.27
content:
The aim of this lecture is to give an insight into the exciting research in the field of magnetism and magnetic materials on the nanoscale. We will start with an introduction in the basics of (ferro)magnetism and magnetic materials with particular focus on magnetic anisotropy, domains and exchange bias and we will give an introduction to magnetic microscopy. Using this knowledge, superparamagnetism and molecular magnets will be discussed. In addition, we will cover aspects of spin transport phenomena such as giant and tunneling magneto resistance, including e.g.a discussion on spin transfer torque.

Special lecture: Solid State Spectroscopy

lecturer:Dmytro Inosov
time:Wednesdays 14:50-16:20
location:REC/D016
content:The goal of the lecture is to present modern spectroscopic methods with examples (e. g. in the area of magnetism). The methods presented are: photoelectron spectroscopy, x-ray spectroscopy, neutron scattering, magnetic resonance techniques, Mössbauer spectroscopy, optical spectroscopy, ion beam analysis, mass spectroscopy, tunnel spectroscopy

Special lecture: Nonequilibrium Field Theory

lecturer:Francesco Piazza and Steffen Rulands
time:Tuesdays 16:40-18:10
location:MPI PKS Seminar Room 3
content:Non-equilibrium systems rely on an influx of energy from the environment to build and maintain complex spatio-temporal structures, prime examples of which are found in biological systems, financial markets and driven quantum systems. In this lecture, we will introduce field theoretic concepts for the description of many-particle systems far from thermal equilibrium. To begin, we will illustrate under which conditions a stochastic classical description emerges from the microscopic description of open quantum many-body systems. Guided by examples from various fields of science we will then introduce field theoretic methods for non-equilibrium many-particle systems and discuss critical and universal dynamics in such systems. By highlighting the mathematical similarities between quantum and classical many-particle systems we will elucidate the close relationship between condensed and living matter systems.