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Neural network quantum states: from fermions to limitations

Annabelle Bohrdt

LMU Munich

In recent years, neural quantum states have emerged as a new numerical tool to simulate strongly interacting quantum many-body systems. In this talk, I will give a brief introduction to neural quantum states in general. I will then discuss their application to simulate strongly interacting fermionic systems in two dimensions, in particular the two-dimensional t-J model as well as the mixed-dimensional t-J model, which is of potential relevance for bilayer nickelates under pressure. In the second part of the talk, I will show our attempts towards a better understanding of neural quantum states and their potential capabilities and limitations.