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🟒 TFIM/LoschmidtRateFunction/Infinite

Provisional v2 view β€” RES not wired

Generated by docs/atlas/generate.jl β€” 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 β€” 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
  • Ξ»(t) = -(1/2Ο€) βˆ«β‚€^Ο€ log|cos²Δθk + sin²Δθk e^{-2iΞ›k(hf) t}|Β² dk via QuadGK.

Corroboration

regimemechanismindependencerefsfile
@disorderedlimiting_case🟑 assertedNo-quench: H0 = Hf => λ(t) = 0 for all ttest/models/quantum/TFIM/test_tfim_loschmidt.jl
@disorderedlimiting_case🟑 assertedNo-quench: H0 = Hf => λ(t) = 0 for all ttest/models/quantum/TFIM/test_tfim_loschmidt.jl
@disorderedlimiting_case🟑 assertedNo-quench: H0 = Hf => λ(t) = 0 for all ttest/models/quantum/TFIM/test_tfim_loschmidt.jl
@orderedlimiting_case🟑 assertedt=0:L(0)
@sweepsecond_closed_form🟒 structuralLoschmidt rate function r(t) = -(1/N) logβŸ¨Οˆβ‚€
@sweepsecond_closed_form🟒 structuralLoschmidt rate function r(t) = -(1/N) logβŸ¨Οˆβ‚€
@sweepsecond_closed_form🟒 structuralLoschmidt rate function r(t) = -(1/N) logβŸ¨Οˆβ‚€
@sweepsecond_closed_form🟒 structuralLoschmidt rate function r(t) = -(1/N) logβŸ¨Οˆβ‚€
@sweepsecond_closed_form🟒 structuralLoschmidt rate function r(t) = -(1/N) logβŸ¨Οˆβ‚€
@sweepsecond_closed_form🟒 structuralLoschmidt rate function r(t) = -(1/N) logβŸ¨Οˆβ‚€

Test calls

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

verify(TFIM(; J = 1.0, h = 1.5), LoschmidtRateFunction(), Infinite(); route = :limiting_case, fetch_kw = (; initial = TFIM(; J = 1.0, h = 1.5), 0.5 = 0.5), independent = 0.0, agree_within = 1.0e-10, refs = ["No-quench: H0 = Hf => Ξ»(t) = 0 for all t"])
verify(TFIM(; J = 1.0, h = 1.5), LoschmidtRateFunction(), Infinite(); route = :limiting_case, fetch_kw = (; initial = TFIM(; J = 1.0, h = 1.5), 2.0 = 2.0), independent = 0.0, agree_within = 1.0e-10, refs = ["No-quench: H0 = Hf => Ξ»(t) = 0 for all t"])
verify(TFIM(; J = 1.0, h = 1.5), LoschmidtRateFunction(), Infinite(); route = :limiting_case, fetch_kw = (; initial = TFIM(; J = 1.0, h = 1.5), 7.3 = 7.3), independent = 0.0, agree_within = 1.0e-10, refs = ["No-quench: H0 = Hf => Ξ»(t) = 0 for all t"])
verify(TFIM(; J = 1.0, h = 0.5), LoschmidtRateFunction(), Infinite(); route = :limiting_case, fetch_kw = (; initial = TFIM(; J = 1.0, h = 2.0), t = 0.0), independent = 0.0, agree_within = 1.0e-10, refs = ["t=0: |L(0)| = 1 so the rate function Ξ»(0) = 0"])
verify(TFIM(; 1.0 = 1.0, h = 1.0), LoschmidtRateFunction(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |βŸ¨Οˆβ‚€|e^{-iHt}|Οˆβ‚€βŸ©|Β² β‡’ 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), LoschmidtRateFunction(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |βŸ¨Οˆβ‚€|e^{-iHt}|Οˆβ‚€βŸ©|Β² β‡’ 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), LoschmidtRateFunction(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |βŸ¨Οˆβ‚€|e^{-iHt}|Οˆβ‚€βŸ©|Β² β‡’ 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), LoschmidtRateFunction(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |βŸ¨Οˆβ‚€|e^{-iHt}|Οˆβ‚€βŸ©|Β² β‡’ 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), LoschmidtRateFunction(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |βŸ¨Οˆβ‚€|e^{-iHt}|Οˆβ‚€βŸ©|Β² β‡’ 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), LoschmidtRateFunction(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |βŸ¨Οˆβ‚€|e^{-iHt}|Οˆβ‚€βŸ©|Β² β‡’ 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: 10 Β· model ED-feasible
  • RES not wired β€” measured residuals / confidence are not shown yet.

← Model: TFIM Β· Quantity: LoschmidtRateFunction Β· Atlas index