Lehrinhalte
[b][h3]Please note that the lecture title is misleading. In the current summer term 2025, the lecture will be on special aspects of quantum physics. The teaching language is English.[/h3][/b]
Axioms of quantum mechanics, Copenhagen interpretation, Bohr-Einstein disput, measurement process, decoherence, EPR paper and its reception, hidden variables, Bell inequalities.
Stern-Gerlach experiment, spin polarization, Bloch sphere, bipartite systems, entangled states, pure and mixed states.
Mathematical tools: tensor product, projection operatores, density matrix, single value decomposition and purification, tracing out of density matrices.
Experiments with entangled states: delayed choice, non contact measurements, hidden variables, GHZ experiment, Hong-Ou-Mandel effect, entanglement swapping, quantum teleportation, quantum computing and quantum cryptography.
Literatur
Literature recommendations are given in the moodle course
Voraussetzungen
Bachelor in Chemistry, Physics, or Mathematics
Weitere Informationen
[b]All relevant information and material is made available exclusively in moodle.[/b]
Offizielle Kursbeschreibung
Students will get an overview over the development of the interpretation of quantum physics and its controversial discussion.
From the Solvay conference and the Bohr-Einstein disput to Bell’s inequalities, the hidden variables theory and questions about the completeness of quantum physics, further to modern aspects like decoherence theory and alternative interpretations.
Students will learn about bipartite systems of spins, based on the Stern Gerlach experiment. They will learn some mathematical tools as tensor products, the density matrix concept and the SVD method and will be able to apply it to bipartite systems. Also, they will be able to trace out density matrices and distinguish between pure states and mixed states.
Students will learn about the strange behavior of entangled states by considering special experiments, which show mind-boggling results (GHZ experiment, entangelment swapping, quantum state teleportation, Hong-Ou-Mandel etc.). They will learn about this behavior by applying the already learned mathematical tools to those systems and experiments.
Finally, the students will get an outlook to some modern applications of quantum physics like quantum cryptography and quantum computing.
Nachhaltigkeitsbezug der Veranstaltungsinhalte
Unitary operations do not generate carbon dioxide.
Online-Angebote
moodle
- Lehrende: Hans-Jürgen Bär
- Lehrende: Stefan Immel