A simple mechanism for unstable degeneracies in local Hamiltonians
Abstract If a local Hamiltonian eigenstate is mapped to another state by local operators commuting with the Hamiltonian terms, the latter is also an eigenstate. This basic observation implies a no-go result for both being a unique ground state and having a degeneracy protected against local perturbations.
Authors
- José Garre Rubio
Institutions
- Instituto de Investigación en Ciencias de la Alimentación (ES)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Journal
- Quantum Information Processing
- Published
- 2025-11-10
- DOI
- https://doi.org/10.1007/s11128-025-04987-0
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Austrian Science Fund