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Boundary Motion Classified a Topological Phase
A local operator’s Krylov chain exposed protected edge memory without a ground-state wavefunction or entanglement spectrum.
Summary
A local operator’s Krylov chain exposed protected edge memory without a ground-state wavefunction or entanglement spectrum.
Krylov edge spectroscopy turns the time evolution of a local boundary operator into a semi-infinite hopping chain. A zero-frequency normalizability criterion and boundary perturbation tests identify protected memory, while endpoint charge recovers the cohomology label in the reported bosonic examples. The method avoids exact many-body diagonalization, an explicit ground state and a guessed string operator. Demonstrations cover cluster, clock, Haldane and trivial spin-1 chains; broader experimental use remains to be shown.
Why it matters
A local operator’s Krylov chain exposed protected edge memory without a ground-state wavefunction or entanglement spectrum.
Limits and context
No additional limitation was separately recorded.
Key claims
A local operator’s Krylov chain exposed protected edge memory without a ground-state wavefunction or entanglement spectrum.
Evidence: source-2026-09-13-019
Sources
- arXiv preprint 2609.10676arXiv · primary research
Corrections
No corrections have been recorded for this story.