## Lectures: Winter Semester 2022-2023

The 2022-2023 winter semester runs from **October 1st 2022 - March 31st 2023**. Lectures run from October 10th 2022 to December 20th 2022 and again from January 4th to February 4th 2023**.**

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

lecturer: | Prof. Dr. Jan Budich | |

time: | Tuesdays 13:00-14:30; Thursdays 11:10-12:40 | |

location: | REC/B214 and Zoom | |

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 11:10-12:40 , Thursdays 11:10-12:40 | |

location: | BZW A120 Zellescher Weg 17 | |

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, many-body systems with classical limit |

**General lecture: Quantum Information**

lecturer: | Prof. Dr. W. Strunz (TUD) | |

time: | Tuesdays 11:10-12:40 , Thursdays 13:00-14:30 | |

location: | BZW A120 Zellescher Weg 17 | |

content: | 1. Introduction 2. Quantum states, geometry, entanglement, correlations, non-locality 3. Quantum communication 4. Quantum computation 5. Quantum noise 6. Information, entropy and capacity |

**Special lecture: Biological Hydrodynamics**

lecturer: | Dr. Benjamin Friedrich (TUD) | |

time: | Wednesdays 11:10-12:40; Tutorial 13:00-14:30 | |

location: | Biotec E05/E06 | |

content: | This class is divided in three parts and will cover hydrodynamics of passive fluids, hydrodynamics of active fluids, and biological pattern formation processes. We will review basics of continuum mechanics and equilibrium and non-equilibrium thermodynamics, linear response theory, Onsager Relations, and the derivation of hydrodynamic equations both from microscopic rules and from a phenomenological approach using broken symmetries and conservation laws. Topics for passive fluids include thin film fluids and the statics and dynamics of nematic liquid crystals. Topics for active fluids include active nematic or polar fluids and biological fluids. Moving beyond linear response we will discuss spatial chemical systems, bifurcation theory, and biological pattern formation. The class will end on coupled chemical and hydrodynamic pattern formation processes relevant for morphogenesis. |

**Special lecture: Path Integrals in Condensed Matter Physics**

lecturer: | Dr. F. Nogueira, V. Shyta and Prof. Dr. J van den Brink (IFW) | |

time: | Thursdays 09:20-10:50 | |

location: | IFW Dresden Helmholtzstr. 20 Room B 3E.26 | |

content: | • Introduction to the path integral formalism • Bose-Hubbard model and the superfluid-Mott insulator transition • Quantum O(N) non-linear sigma model (NLSM) • Hubbard model • Sachdev-Ye-Kitaev (SYK) model |

**Special lecture: Stochastic Processes**

lecturer: | Prof. Dr. H. Kantz | |

time: | Mondays 14:50-16:20 | |

location: | SR4 MPIPKS | |

content: | random variables, some distributions, statistical inference; law of large numbers, central limit theorem; Gaussian stochastic processes in discrete and continuous time; Brownian motion, Ornstein-Uhlenbeck-process; Markov processes, Langevin equation, Fokker Planck equations; Ito versus Stratonowich stochastic integrals |

**Special lecture: Magnetism on the nanoscale**

lecturer: | Prof. B. Büchner, Dr. J. Dufouleur, Dr. T. Mühl | |

time: | Mondays 16:40-18:10 | |

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: Ultra-cold few body physics in atomic gases**

lecturer: | Dr. P. Giannakeas | |

time: | Mondays 16:40-18:10. | |

location: | MPIPKS SR1 or SR4 | |

content: | Ultracold atoms is a vibrant field of atomic physics which emerged after the experimental observation of the first Bose-Einstein condensate in 1995. The reason for that relies on the fact that ultracold gaseous matter is highly controllable in an experimental environment. By means of external electromagnetic or optical fields atoms can be trapped to any potential or adjust their mutual interactions. In this specialized course, we will focus on the few- and many-body aspects of ultracold physics and in particular we will explore the few-to-many body regime. In a bottom-up approach, we will delve into underlying physical mechanisms that dictate or alter the properties of a many-body environment. |