- Prof. Dr. Norbert Schuch
- Mathematics, Computer Science and Natural Sciences
- Organizational Unit:
- Institute for Quantum Information
- Excellent Science
- Project duration:
- 01.03.2015 to 29.02.2020
- EU contribution:
- 1.338.500 euros
Wavefunctions for strongly correlated systems
Strongly correlated quantum systems, which are at the heart of many open problems in condensed matter, quantum chemistry, or high-energy physics, are challenging to understand due to their intricate entanglement structure. Quantum information theory provides the right framework to characterize highly entangled states and has given rise to the class of Tensor Network States, which capture the entanglement structure of strongly correlated systems by building the global wavefunction from local tensors and provide an efficient description of their low-energy states.
In this project, we will develop a framework for the systematic study of strongly correlated systems using exact wavefunctions based on Tensor Network States. It will give us the tools to construct controlled families of states by encoding the relevant structure of the system directly into the wavefunction, rather than a Hamiltonian, and to study their behavior. Since the tensor describing the wavefunction also gives rise to an associated Hamiltonian, this establishes a framework for building solvable models with the tensor as the new central object.
Prof. Schuch has transferred his grant from RWTH Aachen University to his new Host Institution, the Max Planck Society for the Advancement of Science.