Sum rule for non-adiabatic geometric phases
Berry monopoles always cancel when summing over a complete set of energy eigenstates. We demonstrate that analogous sum rules exist for geometric phases and their underlying 2-forms in non-adiabatic evolution. Our result has implications for qudit computation as it limits the types of gates that can be implemented by purely geometric means.
Authors
- Erik Sjöqvist (ORCID: https://orcid.org/0000-0002-4669-1818)
- Adam Fredriksson
Institutions
- Uppsala University (SE)
Publication Details
- Journal
- Physics Letters A
- Published
- 2026-01-08
- DOI
- https://doi.org/10.1016/j.physleta.2026.131345
- Primary Topic
- Quantum Mechanics and Non-Hermitian Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00