🟢 AKLT1D/CorrelationLength/Infinite
Generated by docs/atlas/generate.jl — 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 — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
src claim
- method
analytic, statusexact, reliabilityhigh, refs: AKLT1988 - Closed form ξ = 1/log 3 ≈ 0.910 from VBS transfer matrix.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | second_closed_form | 🟢 structural | AKLT 1988: ⟨S^z0 S^zr⟩ = (-1)^r (4/3) 3^{-r} ⇒ ξ = 1/log 3 | test/models/quantum/misc/test_aklt_verify_closed_form.jl |
@sweep | second_closed_form | 🟢 structural | AKLT 1988: ⟨S^z0 S^zr⟩ = (-1)^r (4/3) 3^{-r} ⇒ ξ = 1/log 3 | test/models/quantum/misc/test_aklt_verify_closed_form.jl |
@sweep | second_closed_form | 🟢 structural | AKLT 1988: ⟨S^z0 S^zr⟩ = (-1)^r (4/3) 3^{-r} ⇒ ξ = 1/log 3 | test/models/quantum/misc/test_aklt_verify_closed_form.jl |
@sweep | second_closed_form | 🟢 structural | AKLT 1988: ξ = 1/log 3 from VBS transfer matrix | test/models/quantum/misc/test_aklt_verify_main.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(AKLT1D(; 0.5 = 0.5), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / log(3), agree_within = 1.0e-14, refs = ["AKLT 1988: ⟨S^z_0 S^z_r⟩ = (-1)^r (4/3) 3^{-r} ⇒ ξ = 1/log 3"])verify(AKLT1D(; 1.0 = 1.0), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / log(3), agree_within = 1.0e-14, refs = ["AKLT 1988: ⟨S^z_0 S^z_r⟩ = (-1)^r (4/3) 3^{-r} ⇒ ξ = 1/log 3"])verify(AKLT1D(; 2.0 = 2.0), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / log(3), agree_within = 1.0e-14, refs = ["AKLT 1988: ⟨S^z_0 S^z_r⟩ = (-1)^r (4/3) 3^{-r} ⇒ ξ = 1/log 3"])verify(AKLT1D(), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / log(3), agree_within = 1.0e-12, refs = ["AKLT 1988: ξ = 1/log 3 from VBS transfer matrix"])Assurance (provisional)
- level: corroborated-at-p 🟢
- cards: 4 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.