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Technical University of Munich
Technical University of Munich

Novel tensor network methods for strongly correlated quantum systems

In this Focus Group, Hans Fischer Senior Fellow Prof. Örs Legeza (Wigner Research Centre for Physics) works with his host Prof. Gero Friesecke (Analysis, TUM) and doctoral student Elizabeth Adomako Boamah.

The main research interests focus on the development of novel tensor network state (TNS) methods and their application to strongly correlated quantum many-body systems to simulate and study magnetic properties in solid states, exotic quantum phases, complex molecular clusters, ultracold atomic systems or nuclear structures. For the method development we combine established methods for simple networks (MPS, MERA, tensor trees) with concepts from quantum information theory and computational mathematics to push the current frontier of moderate system size to much larger and more complex systems.

TUM-IAS-funded doctoral candidate:

Elizabeth Adomako Boamah, Analysis, TUM

 

Publications by the Focus Group

2022

  • Barcza, Gergely; Werner, Miklós Antal; Zaránd, Gergely; Pershin, Anton; Benedek, Zsolt; Legeza, Örs; Szilvási, Tibor: Toward Large-Scale Restricted Active Space Calculations Inspired by the Schmidt Decomposition. The Journal of Physical Chemistry A 126 (51), 2022, 9709-9718 more…
  • Friesecke, Gero; Barcza, Gergely; Legeza, Örs: Predicting the FCI energy of large systems to chemical accuracy from restricted active space density matrix renormalization group calculations. , 2022 more…
  • Friesecke, Gero; Graswald, Benedikt R.; Legeza, Örs: Exact matrix product state representation and convergence of a fully correlated electronic wavefunction in the infinite-basis limit. Physical Review B 105 (16), 2022 more…
  • Gebhard, Florian; Bauerbach, Kevin; Legeza, Örs: Accurate localization of Kosterlitz-Thouless-type quantum phase transitions for one-dimensional spinless fermions. Physical Review B 106 (20), 2022 more…
  • Moca, Cătălin Paşcu; Werner, Miklós Antal; Legeza, Örs; Prosen, Tomaž; Kormos, Márton; Zaránd, Gergely: Simulating Lindbladian evolution with non-Abelian symmetries: Ballistic front propagation in the SU(2) Hubbard model with a localized loss. Physical Review B 105 (19), 2022 more…
  • Máté, Mihály; Petrov, Klára; Szalay, Szilárd; Legeza, Örs: Compressing multireference character of wave functions via fermionic mode optimization. Journal of Mathematical Chemistry 61 (2), 2022, 362-375 more…
  • Tichai, A.; Knecht, S.; Kruppa, A. T.; Legeza, Ö.; Moca, C. P.; Schwenk, A.; Werner, M. A.; Zarand, G.: Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy. , 2022 more…
  • Werner, Miklós Antal; Moca, Cătălin Paşcu; Kormos, Márton; Legeza, Örs; Dóra, Balázs; Zaránd, Gergely: Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\textrm{SU}(N)$ Hubbard Models. , 2022 more…

2021

  • Babar, Rohit; Barcza, Gergely; Pershin, Anton; Park, Hyoju; Lindvall, Oscar Bulancea; Thiering, Gergő; Legeza, Örs; Warner, Jamie H.; Abrikosov, Igor A.; Gali, Adam; Ivády, Viktor: Quantum sensor in a single layer van der Waals material. , 2021 more…
  • Babar, Rohit; Barcza, Gergely; Pershin, Anton; Park, Hyoju; Lindvall, Oscar Bulancea; Thiering, Gergő; Legeza, Örs; Warner, Jamie H.; Abrikosov, Igor A.; Gali, Adam; Ivády, Viktor: Quantum sensor in a single layer van der Waals material. , 2021 more…
  • Barcza, Gergely; Werner, Miklós Antal; Zaránd, Gergely; Legeza, Örs; Szilvási, Tibor: Towards large-scale restricted active space calculations inspired by the Schmidt decomposition. , 2021 more…
  • Friesecke, Gero; Graswald, Benedikt R.; Legeza, Örs: Exact matrix product state representation and convergence of a fully correlated electronic wavefunction in the infinite basis limit. , 2021 more…
  • Gebhard, Florian; Legeza, Örs: Tracing the Mott-Hubbard transition in one-dimensional Hubbard models without Umklapp scattering. Physical Review B 104 (24), 2021 more…
  • Gebhard, Florian; Legeza, Örs: Tracing the Mott-Hubbard transition in one-dimensional Hubbard models without Umklapp scattering. arXiv, 2021 more…
  • Kovács, J.; Kruppa, A. T.; Salamon, P.; Legeza, Ö.; Zaránd, G.: Entanglement and seniority. , 2021 more…
  • Kovács, J.; Kruppa, A. T.; Salamon, P.; Legeza, Ö.; Zaránd, G.: Entanglement and seniority. , 2021 more…
  • Leszczyk, Aleksandra; Máté, Mihály; Legeza, Örs; Boguslawski, Katharina: Assessing the Accuracy of Tailored Coupled Cluster Methods Corrected by Electronic Wave Functions of Polynomial Cost. Journal of Chemical Theory and Computation 18 (1), 2021, 96-117 more…
  • Moca, Cătălin Paşcu; Werner, Miklós Antal; Legeza, Örs; Prosen, Tomaž; Kormos, Márton; Zaránd, Gergely: Simulating Lindbladian evolution with non-abelian symmetries: Ballistic front propagation in the SU(2) Hubbard model with a localized loss. arXiv, 2021 more…
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