Luisa Eck

DPhil student
University of Oxford

I am a second year DPhil student in theoretical condensed matter physics at the University of Oxford, supervised by Paul Fendley. My current research focuses on non-invertible symmetries and topological defects in quantum lattice models. More broadly, I am interested in using conformal field theory, integrability and categorical symmetries to understand strongly correlated quantum systems.

Prior to my doctoral studies, I completed my undergraduate studies in Physics at LMU Munich, followed by the Part III Master in Applied Mathematics and Theoretical Physics at the University of Cambridge. Throughout my undergraduate studies I was supported by the Maximilianeum Foundation and the Max Weber Programme. For my stay in Cambridge, I received a scholarship from the German Academic Exchange Service (DAAD).



  • Categorical symmetries and topological defects on the lattice
  • Quantum criticality and 2d conformal field theory
  • Integrable spin chains
  • Probabilistic and statistical theories of learning


2021 - today University of Oxford, DPhil Theoretical Physics
topological defects, quantum criticality, integrable lattice models
2020 - 2021 University of Cambridge, MaSt Part III
statistical field theory, percolation, modern statistical methods, distribution theory
Part III essay on directed percolation and absorbing-state phase transitions
2018 - 19 University of Oxford, Visiting MPhil student
Quantum field theory, conformal field theory, quantum matter
2016 - 20 LMU Munich, B.Sc. Physics
condensed matter, quantum information; Bachelor’s thesis on topological quantum memories


  • 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.
  • Critical lines and ordered phases in the Rydberg-blockade ladder
    in preparation
    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.