GitHub

🟢 TFIM/Energy/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 bdg, status exact, reliability high, refs: Pfeuty1970
  • Per-site ε(β) by QuadGK over the PBC dispersion Λ(k).

Corroboration

regimemechanismindependencerefsfile
@criticalsecond_closed_form🟢 structuralCritical OBC TFIM at h=J=1: e_∞ = -(2/π)·2J = -4J/π (BdG dispersion integral, Pfeuty 1970)test/verification/universality/test_universality_cross_check.jl
@orderedsum_rule🟡 assertedTr(σz σz)=Tr(σx)=0 => per-site ⟨H⟩_{β=0}=0 across all BCtest/identities/test_cross_bc_scaling.jl
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at h=0 dispersion is flat Λ(k)=2J
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at h=0 dispersion is flat Λ(k)=2J
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at h=0 dispersion is flat Λ(k)=2J
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at h=0 dispersion is flat Λ(k)=2J
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at J=0 dispersion is flat Λ(k)=2h ⇒ ε₀ = -htest/models/quantum/TFIM/test_TFIM_energy_pfeuty_batch.jl
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at J=0 dispersion is flat Λ(k)=2h ⇒ ε₀ = -htest/models/quantum/TFIM/test_TFIM_energy_pfeuty_batch.jl
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at J=0 dispersion is flat Λ(k)=2h ⇒ ε₀ = -htest/models/quantum/TFIM/test_TFIM_energy_pfeuty_batch.jl
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at h=J critical point ε₀ = -4J/π (closed-form integral)test/models/quantum/TFIM/test_TFIM_energy_pfeuty_batch.jl
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at h=J critical point ε₀ = -4J/π (closed-form integral)test/models/quantum/TFIM/test_TFIM_energy_pfeuty_batch.jl
@sweepsecond_closed_form🟢 structuralPfeuty 1970: at h=J critical point ε₀ = -4J/π (closed-form integral)test/models/quantum/TFIM/test_TFIM_energy_pfeuty_batch.jl

Test calls

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

verify(TFIM(; J = 1.0, h = 1.0), Energy(), Infinite(); route = :second_closed_form, independent = -4 / π, agree_within = 1.0e-10, refs = ["Critical OBC TFIM at h=J=1: e_∞ = -(2/π)·2J = -4J/π (BdG dispersion integral, Pfeuty 1970)"])
verify(TFIM(; J = 1.0, h = 0.5), Energy(:per_site), Infinite(); route = :sum_rule, fetch_kw = (; beta = 0.0), independent = 0.0, agree_within = 1.0e-9, refs = ["Tr(σz σz)=Tr(σx)=0 => per-site ⟨H⟩_{β=0}=0 across all BC"])
verify(TFIM(; -1.0 = -1.0, h = 0.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -(abs(-1.0)), agree_within = 1.0e-9, refs = ["Pfeuty 1970: at h=0 dispersion is flat Λ(k)=2|J| ⇒ ε₀ = -|J|"])
verify(TFIM(; 0.5 = 0.5, h = 0.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -(abs(0.5)), agree_within = 1.0e-9, refs = ["Pfeuty 1970: at h=0 dispersion is flat Λ(k)=2|J| ⇒ ε₀ = -|J|"])
verify(TFIM(; 1.0 = 1.0, h = 0.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -(abs(1.0)), agree_within = 1.0e-9, refs = ["Pfeuty 1970: at h=0 dispersion is flat Λ(k)=2|J| ⇒ ε₀ = -|J|"])
verify(TFIM(; 2.0 = 2.0, h = 0.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -(abs(2.0)), agree_within = 1.0e-9, refs = ["Pfeuty 1970: at h=0 dispersion is flat Λ(k)=2|J| ⇒ ε₀ = -|J|"])
verify(TFIM(; J = 0.0, 0.5 = 0.5), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -0.5, agree_within = 1.0e-9, refs = ["Pfeuty 1970: at J=0 dispersion is flat Λ(k)=2h ⇒ ε₀ = -h"])
verify(TFIM(; J = 0.0, 1.0 = 1.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -1.0, agree_within = 1.0e-9, refs = ["Pfeuty 1970: at J=0 dispersion is flat Λ(k)=2h ⇒ ε₀ = -h"])
verify(TFIM(; J = 0.0, 2.0 = 2.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -2.0, agree_within = 1.0e-9, refs = ["Pfeuty 1970: at J=0 dispersion is flat Λ(k)=2h ⇒ ε₀ = -h"])
verify(TFIM(; 0.5 = 0.5, h = 0.5), Energy(:per_site), Infinite(); route = :second_closed_form, independent = (-4 * 0.5) / π, agree_within = 1.0e-9, refs = ["Pfeuty 1970: at h=J critical point ε₀ = -4J/π (closed-form integral)"])
verify(TFIM(; 1.0 = 1.0, h = 1.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = (-4 * 1.0) / π, agree_within = 1.0e-9, refs = ["Pfeuty 1970: at h=J critical point ε₀ = -4J/π (closed-form integral)"])
verify(TFIM(; 2.0 = 2.0, h = 2.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = (-4 * 2.0) / π, agree_within = 1.0e-9, refs = ["Pfeuty 1970: at h=J critical point ε₀ = -4J/π (closed-form integral)"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 12 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: TFIM · Quantity: Energy · Atlas index