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, status exact, reliability high, refs: Heyl2013 | Heyl2018
λ(t) = -(1/2π) ∫₀^π log|cos²Δθk + sin²Δθk e^{-2iΛk(hf) t}|² dk via QuadGK.

Corroboration

regime	mechanism	independence	refs	file
`@sweep`	`second_closed_form`	🟢 structural	Loschmidt rate function r(t) = -(1/N) log	⟨ψ₀
`@sweep`	`second_closed_form`	🟢 structural	Loschmidt rate function r(t) = -(1/N) log	⟨ψ₀
`@sweep`	`second_closed_form`	🟢 structural	Loschmidt rate function r(t) = -(1/N) log	⟨ψ₀
`@sweep`	`second_closed_form`	🟢 structural	Loschmidt rate function r(t) = -(1/N) log	⟨ψ₀
`@sweep`	`second_closed_form`	🟢 structural	Loschmidt rate function r(t) = -(1/N) log	⟨ψ₀
`@sweep`	`second_closed_form`	🟢 structural	Loschmidt rate function r(t) = -(1/N) log	⟨ψ₀

Test calls

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

verify(TFIM(; 1.0 = 1.0, h = 1.0), LoschmidtEcho(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |⟨ψ₀|e^{-iHt}|ψ₀⟩|² ⇒ r(t=0) = 0 (identity evolution, normalized state)"], fetch_kw = (; initial = TFIM(; 1.0 = 1.0, h = 0.5), t = 0.0))

verify(TFIM(; 1.0 = 1.0, h = 2.0), LoschmidtEcho(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |⟨ψ₀|e^{-iHt}|ψ₀⟩|² ⇒ r(t=0) = 0 (identity evolution, normalized state)"], fetch_kw = (; initial = TFIM(; 1.0 = 1.0, h = 0.5), t = 0.0))

verify(TFIM(; 1.0 = 1.0, h = 1.0), LoschmidtEcho(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |⟨ψ₀|e^{-iHt}|ψ₀⟩|² ⇒ r(t=0) = 0 (identity evolution, normalized state)"], fetch_kw = (; initial = TFIM(; 1.0 = 1.0, h = 1.5), t = 0.0))

verify(TFIM(; 1.0 = 1.0, h = 2.0), LoschmidtEcho(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |⟨ψ₀|e^{-iHt}|ψ₀⟩|² ⇒ r(t=0) = 0 (identity evolution, normalized state)"], fetch_kw = (; initial = TFIM(; 1.0 = 1.0, h = 1.5), t = 0.0))

verify(TFIM(; 2.0 = 2.0, h = 3.0), LoschmidtEcho(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |⟨ψ₀|e^{-iHt}|ψ₀⟩|² ⇒ r(t=0) = 0 (identity evolution, normalized state)"], fetch_kw = (; initial = TFIM(; 2.0 = 2.0, h = 0.5), t = 0.0))

verify(TFIM(; 0.5 = 0.5, h = 1.0), LoschmidtEcho(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |⟨ψ₀|e^{-iHt}|ψ₀⟩|² ⇒ r(t=0) = 0 (identity evolution, normalized state)"], fetch_kw = (; initial = TFIM(; 0.5 = 0.5, h = 2.0), t = 0.0))

Assurance (provisional)

level: corroborated-at-p 🟢
cards: 6 · model ED-feasible
RES not wired — measured residuals / confidence are not shown yet.

← Model: TFIM · Quantity: LoschmidtEcho · Atlas index

🟢 TFIM/LoschmidtEcho/Infinite

src claim

Corroboration

Test calls

Assurance (provisional)

🟢 `TFIM/LoschmidtEcho/Infinite`

`src` claim