🟢 Kitaev1D/CorrelationLength/Infinite

Provisional v2 view — RES not wired

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.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, reliability high, refs: Kitaev 2001
  • ξ = 1/Ī”_gap; Inf on the critical line |μ| = 2|t|.

Corroboration

regimemechanismindependencerefsfile
@topologicalsecond_closed_form🟢 structuralKitaev 2001 sweet spot (μ=0, t=Ī”): bulk gap = 2Ī”
@trivialsecond_closed_form🟢 structuralKitaev chain trivial μ=3, t=Ī”=1: bulk gap = 1 ⇒ ξ = 1/Ī”_gap = 1test/models/quantum/misc/test_kitaev1d.jl
@trivialsecond_closed_form🟢 structuralKitaev 2001 trivial phase: bulk gap =μ

Test calls

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

verify(Kitaev1D(; μ = 0.0, t = 1.0, Ī” = 1.0), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 0.5, agree_within = 1.0e-12, refs = ["Kitaev 2001 sweet spot (μ=0, t=Ī”): bulk gap = 2|Ī”|, general ξ = 1/Ī”_gap ⇒ ξ = 1/(2|Ī”|)"])
verify(Kitaev1D(; μ = 3.0, t = 1.0, Ī” = 1.0), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-9, refs = ["Kitaev chain trivial μ=3, t=Ī”=1: bulk gap = 1 ⇒ ξ = 1/Ī”_gap = 1"])
verify(Kitaev1D(; μ = 3.0, t = 1.0, Ī” = 1.0), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-12, refs = ["Kitaev 2001 trivial phase: bulk gap = |μ|āˆ’2|t| ⇒ ξ = 1/(|μ|āˆ’2|t|)"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 3 Ā· model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

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