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šŸŸ¢ AKLT1D/StringOrderParameter/Infinite

Provisional v2 view ā€” RES not wired

Generated by docs/atlas/generate.jl ā€” 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 ā€” 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 analytic, status exact, reliability high, refs: AKLT1988 | KennedyTasaki1992
  • Closed form O_str = 4/9; detects hidden Zā‚‚Ć—Zā‚‚ in the Haldane phase.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_formšŸŸ¢ structuralKennedy-Tasaki 1992 on AKLT VBS: Ostr = -āŸØS^zi e^{iĻ€ Ī£ S^zk} S^zjāŸ© ā†’ 4/9 at r ā†’ āˆžtest/models/quantum/misc/test_aklt_verify_closed_form.jl
@sweepsecond_closed_formšŸŸ¢ structuralKennedy-Tasaki 1992 on AKLT VBS: Ostr = -āŸØS^zi e^{iĻ€ Ī£ S^zk} S^zjāŸ© ā†’ 4/9 at r ā†’ āˆžtest/models/quantum/misc/test_aklt_verify_closed_form.jl
@sweepsecond_closed_formšŸŸ¢ structuralKennedy-Tasaki 1992 on AKLT VBS: Ostr = -āŸØS^zi e^{iĻ€ Ī£ S^zk} S^zjāŸ© ā†’ 4/9 at r ā†’ āˆžtest/models/quantum/misc/test_aklt_verify_closed_form.jl
@sweepsecond_closed_formšŸŸ¢ structuralKennedy-Tasaki 1992: O_str = 4/9 (hidden Zā‚‚Ć—Zā‚‚ in Haldane phase)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), StringOrderParameter(), Infinite(); route = :second_closed_form, independent = 4 / 9, agree_within = 1.0e-14, refs = ["Kennedy-Tasaki 1992 on AKLT VBS: O_str = -āŸØS^z_i e^{iĻ€ Ī£ S^z_k} S^z_jāŸ© ā†’ 4/9 at r ā†’ āˆž"])
verify(AKLT1D(; 1.0 = 1.0), StringOrderParameter(), Infinite(); route = :second_closed_form, independent = 4 / 9, agree_within = 1.0e-14, refs = ["Kennedy-Tasaki 1992 on AKLT VBS: O_str = -āŸØS^z_i e^{iĻ€ Ī£ S^z_k} S^z_jāŸ© ā†’ 4/9 at r ā†’ āˆž"])
verify(AKLT1D(; 2.0 = 2.0), StringOrderParameter(), Infinite(); route = :second_closed_form, independent = 4 / 9, agree_within = 1.0e-14, refs = ["Kennedy-Tasaki 1992 on AKLT VBS: O_str = -āŸØS^z_i e^{iĻ€ Ī£ S^z_k} S^z_jāŸ© ā†’ 4/9 at r ā†’ āˆž"])
verify(AKLT1D(), StringOrderParameter(), Infinite(); route = :second_closed_form, independent = 4 / 9, agree_within = 1.0e-14, refs = ["Kennedy-Tasaki 1992: O_str = 4/9 (hidden Zā‚‚Ć—Zā‚‚ in Haldane phase)"])

Assurance (provisional)

  • level: corroborated-at-p šŸŸ¢
  • cards: 4 Ā· model ED-feasible
  • RES not wired ā€” measured residuals / confidence are not shown yet.

ā† Model: AKLT1D Ā· Quantity: StringOrderParameter Ā· Atlas index