Research

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  Generalizations of Kitaev's honeycomb model from braided fusion categories
  

  Luisa Eck, Paul Fendley

  We explore several two-dimensional quantum lattice models constructed from braided fusion categories. The models inherit commuting plaquette operators and anomalous 1-form symmetries, making them promising candidates for chiral and non-chiral topological order.
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  From the XXZ chain to the integrable Rydberg-blockade ladder via non-invertible duality defects
  

  Luisa Eck, Paul Fendley

  We discuss duality mappings between four different quantum lattice models, including the spin 1/2 XXZ chain and a model describing Rydberg-blockade atoms on a square ladder, as well as the non-invertible symmetries in these models.
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  Critical lines and ordered phases in the Rydberg-blockade ladder
  

  Luisa Eck, Paul Fendley

  We explore the phase diagram of the Rydberg-blockade ladder away from the integrable line and find different symmetry-broken and disordered phases together with first and second order phase transitions between them.