Quanteninformationsmethoden in der Vielteilchenphysik

What it is about

You engage with quantum mechanical many-body systems and learn how their physical properties arise from quantum correlations (entanglement). A focus is tensor network states such as Matrix Product States and Projected Entangled Pair States, with which you can describe states and numerically vary them. In the end you can construct MPS, build variational algorithms on top of them and understand fundamental phenomena such as topological order and symmetry-protected phases.

What you will be able to do

• Understand entanglement properties of many particles
• Identify features of low-entanglement states
• Specify the construction of a Matrix Product State
• Design variational algorithms based on MPS
• Derive classification of symmetry-protected phases in 1D
• Understand realizations of symmetries in MPS
• Name examples of MPS (e.g., AKLT state)
• Be able to start a research project on tensor network states

What the module consists of

• Vorlesungintroduces theory and methods of quantum information approaches for many-body systems
• Übung/Praktische Simulationenenables applying tensor network methods (MPS, DMRG, PEPS, simulation of time- and thermal states)

Teaching method

• Vorlesungconveying the theoretical foundations and key concepts (entanglement, area law, MPS, PEPS, topological order)
• praktische/variationale Übungenapplication of methods for simulating states, time evolution and thermal states