š¢ Kitaev1D/CorrelationLength/Infinite
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.
src claim
- method
analytic, reliabilityhigh, refs: Kitaev 2001 - ξ = 1/Ī_gap; Inf on the critical line |μ| = 2|t|.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@topological | second_closed_form | š¢ structural | Kitaev 2001 sweet spot (μ=0, t=Ī): bulk gap = 2 | Ī |
@trivial | second_closed_form | š¢ structural | Kitaev chain trivial μ=3, t=Ī=1: bulk gap = 1 ā ξ = 1/Ī_gap = 1 | test/models/quantum/misc/test_kitaev1d.jl |
@trivial | second_closed_form | š¢ structural | Kitaev 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 ā 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 ā 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|ā2|t| ā ξ = 1/(|μ|ā2|t|)"])Assurance (provisional)
- level: corroborated-at-p š¢
- cards: 3 Ā· model ED-feasible
- RES not wired ā measured residuals / confidence are not shown yet.
ā Model: Kitaev1D Ā· Quantity: CorrelationLength Ā· Atlas index