PIRSA:23060039

Investigating Topological Order with Recurrent Neural Network Wave Functions

Hibat Allah, M. (2023). Investigating Topological Order with Recurrent Neural Network Wave Functions. Perimeter Institute. https://pirsa.org/23060039

Hibat Allah, Mohamed. Investigating Topological Order with Recurrent Neural Network Wave Functions. Perimeter Institute, Jun. 14, 2023, https://pirsa.org/23060039 

          @misc{ pirsa_PIRSA:23060039,
            doi = {10.48660/23060039},
            url = {https://pirsa.org/23060039},
            author = {Hibat Allah, Mohamed},
            keywords = {Condensed Matter},
            language = {en},
            title = {Investigating Topological Order with Recurrent Neural Network Wave Functions},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jun},
            note = {PIRSA:23060039 see, \url{https://pirsa.org}}
          }

Mohamed Hibat Allah Perimeter Institute for Theoretical Physics

DOI 10.48660/23060039
Collection
Talk Type Conference
Subject

Abstract

Recurrent neural networks (RNNs), originally developed for natural language processing, hold great promise for accurately describing strongly correlated quantum many-body systems. In this talk, we will illustrate how to use 2D RNNs to investigate two prototypical quantum many-body Hamiltonians exhibiting topological order. Specifically, we will demonstrate that RNN wave functions can effectively capture the topological order of the toric code and a Bose-Hubbard spin liquid on the kagome lattice by estimating their topological entanglement entropies. Overall, we will show that RNN wave functions constitute a powerful tool for studying phases of matter beyond Landau's symmetry-breaking paradigm.