
I am a final-year DPhil student in theoretical condensed matter physics at the University of Oxford, supervised by Paul Fendley. Currently, I'm visiting the Kavli Institute for Theoretical Physics (KITP) as a Graduate Fellow. My research focuses on categorical symmetries and dualities in quantum lattice models, with connections to topological phases, integrability and conformal field theory.
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).Research
-
Luisa Eck, Paul FendleyWe explore two-dimensional quantum lattice models constructed from braided fusion categories, which generalize Kitaev's honeycomb model. Their categorical 1-form symmetries make them promising candidates for chiral topological order.
-
Luisa Eck, Paul FendleyWe 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.
-
Luisa Eck, Paul FendleyWe 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.
Talks and conferences
- September 2024: Invited talk at the Workshop on Applications of Generalized Symmetries and Topological Defects to Quantum Matter at the Simons Center for Physics and Geometry in Stony Brook
- September 2024: Talk as a finalist at the Quantum Talents Symposium in Munich
- June 2024: Invited talk at the UK meeting on Integrable Models, Conformal Field Theory and Related Topics
- February 2024: Seminar talk at the Oxford Weekly Symmetry Meetings
- November 2024: Seminar talk at the Oxford Condensed Matter Theory Forum
- October 2023: Poster presentation at the Workshop for tensor networks for constrained systems in Delft, best poster award
- September 2023: Gong show talk at the summer school on categorical symmetries in Les Diablarets
- June 2023: Poster presentation at the summer school on quantum dynamics in Minnesota
- December 2022: Poster presentation at the Workshop on Entanglement Scaling and Criticality in Lausanne
Education
2021 - today | University of Oxford, DPhil Theoretical Physics
categorical symmetries and dualities in quantum 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 |