Sum rule for non-adiabatic geometric phases
Abstract
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.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Topological Materials and Phenomena
Quantum many-body systems
Publication details
- Journal / source
- Physics Letters A
- Volume
- 572
- Pages
- 131345–131345
- Publication date
- 8 January 2026
- Language
- EN