Symmetrische Tensor-Netzwerke für 2D-Quantenmaterie

• Antragsteller: Professor Dr. Matteo Rizzi, seit 9/2018
• Fachliche Zuordnung: Theoretische Physik der kondensierten Materie ; Optik, Quantenoptik und Physik der Atome, Moleküle und Plasmen
• Förderung: Förderung von 2017 bis 2023
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 358346317

• Erstellungsjahr: 2020

Zusammenfassung der Projektergebnisse

This DFG project allowed us to develop new methods to solve long-standing open problems in 2d condensed matter physics which are key in our understanding of quantum matter. It allowed us to implement new general-purpose numerical methods for 2d systems with nonabelian symmetries. Introducing non-abelian symmetries in the game has been a challenge, but brought unprecedented accuracy to calculations. The project has consolidated new tensor network tools in the study of 2d quantum matter. The produced numerical toolbox, which we plan to deploy open-source in the coming future, has a long-standing impact in fields such as condensed matter physics, quantum-atom optics, lattice gauge theory, quantum information, quantum chemistry, and computational physics.

Projektbezogene Publikationen (Auswahl)

• “Quantum criticality on a chiral ladder: an SU(2) iDMRG study”, Phys. Rev. B 99, 205121 (2019)
  P. Schmoll, A. Haller, M. Rizzi, R. Orus
  
• “A programming guide for tensor networks with global SU(2) symmetry”, Annals of Physics 419 (2020) 168232
  P. Schmoll, S. Singh, M. Rizzi, R. Orus
  
• “Benchmarking global SU(2) symmetry in 2d tensor network algorithms”
  P. Schmoll, R. Orus
  
• “Fine-grained tensor network methods”, Phys. Rev. Lett. 124, 200603 (2020)
  P. Schmoll, S. S. Jahromi, M. Hörmann, M. Mühlhauser, K. P. Schmidt, R. Orus