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๐ŸŸข SSH/MassGap/OBC

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run โ€” a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method single_particle_diagonalization, status exact, reliability high, refs: SSH1979 | AsbothOroszlanyPalyi2016
  • "Smallest non-negative single-particle eigenvalue. In the topological phase " * "this IS the chiral edge-mode splitting, exactly 0 at the v = 0 sweet spot; " * "in the trivial phase it converges to |v - w|. That reading is an " * "interpretation of this value in a phase, not a second quantity (#816 deleted " * "EdgeModeEnergy, which duplicated it). Diagonalises the 2N x 2N " * "SINGLE-PARTICLE matrix, so the cost is O(N^3) and there is no Hilbert-space " * "cap โ€“ this was mislabelled :dense_ed, which reads as exponential " * "many-body ED."

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979 topological sweet spot v=0: exact end zero modes (E_edge = 0 โˆ€N)test/models/quantum/misc/test_ssh.jl
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979 topological sweet spot v=0: exact end zero modes (E_edge = 0 โˆ€N)test/models/quantum/misc/test_ssh.jl
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979 topological sweet spot v=0: exact end zero modes (E_edge = 0 โˆ€N)test/models/quantum/misc/test_ssh.jl
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979 topological sweet spot v=0: exact end zero modes (E_edge = 0 โˆ€N)test/models/quantum/misc/test_ssh.jl

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(SSH(; v = 0.0, w = 1.0), MassGap(), OBC(6); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["SSH 1979 topological sweet spot v=0: exact end zero modes (E_edge = 0 โˆ€N)"])
verify(SSH(; v = 0.0, w = 1.0), MassGap(), OBC(8); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["SSH 1979 topological sweet spot v=0: exact end zero modes (E_edge = 0 โˆ€N)"])
verify(SSH(; v = 0.0, w = 1.0), MassGap(), OBC(16); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["SSH 1979 topological sweet spot v=0: exact end zero modes (E_edge = 0 โˆ€N)"])
verify(SSH(; v = 0.0, w = 1.0), MassGap(), OBC(32); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["SSH 1979 topological sweet spot v=0: exact end zero modes (E_edge = 0 โˆ€N)"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 4 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: SSH ยท Quantity: MassGap ยท Atlas index