A Basis-Sensitive Companion to Spectral Dimension: Heat-Kernel Concentration Observables for Diffusion Geometry
Abstract
This preprint introduces basis-sensitive coherence observables for self-adjoint generators and benchmarks them against spectral dimension, disorder localization, and modular-Hamiltonian structure. The results show that the proposed observables capture operator structure not visible to eigenvalue-only diagnostics and can distinguish modular architectures even when entanglement entropy is nearly matched.
Fields of Study & Subjects
Quantum many-body systems
Quantum Information and Cryptography
Topological Materials and Phenomena
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 8 March 2026
- Language
- EN