Regensburg 2025 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 17: Correlated Electrons: Method Development
TT 17.6: Vortrag
Dienstag, 18. März 2025, 10:45–11:00, H33
Simulating Fermi Hubbard and t-J Models with Neural Quantum States — •Annika Böhler1,2, Hannah Lange1,2,3, Christopher Roth4, and Annabelle Bohrdt2,5 — 1Department of Physics Ludwig-Maximilians-Universität München, Germany — 2Munich Center for Quantum Science and Technology, Germany — 3Max-Planck-Institute for Quantum Optics, Munich Germany — 4Center for Computational Quantum Physics, Flatiron Institute, New York, USA — 5University of Regensburg, Germany
Simulating strongly correlated electron systems remains a major challenge in condensed matter physics. While these systems offer a rich playground for studying emergent phenomena such as high-temperature superconductivity, they remain challenging to study both experimentally and theoretically, due to the exponential growth of the Hilbert space dimension. Neural Quantum States (NQS) offer a versatile variational framework to address this complexity. In this presentation, I will discuss the application of NQS to the strong interaction limit of the Fermi-Hubbard model. I will explore results obtained using different NQS architectures tailored to encode specific symmetry constraints. Hidden fermion determinant states are employed to efficiently capture fermionic antisymmetry, while other architectures incorporate lattice symmetries to improve accuracy and efficiency. I will show how these models can be extended to study higher SU(N) generalizations of the t-J model, providing a flexible approach to investigate a wide range of strongly correlated quantum systems and their emergent phases.
Keywords: Fermi-Hubbard Model; Neural Quantum States