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๐ŸŸข TFIM/MassGap/Infinite

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” 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 โ€” 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: Pfeuty 1970
  • ฮ”_โˆž(J,h) = 2|h - J| โ€” closed-form Ising gap.

Corroboration

regimemechanismindependencerefsfile
@criticallimiting_case๐ŸŸก assertedIsing QCP at h = J: gap closes (Pfeuty 1970)test/models/quantum/TFIM/test_TFIM_infinite_dynamics.jl
@orderedsecond_closed_form๐ŸŸข structuralPfeuty 1970: ฮ” = 2h - J
@orderedsecond_closed_form๐ŸŸข structuralPfeuty 1970: Delta = 2h - J
@sweepsecond_closed_form๐ŸŸข structuralPfeuty 1970: ฮ” = 2h - J
@sweepsecond_closed_form๐ŸŸข structuralPfeuty 1970: ฮ” = 2h - J
@sweepsecond_closed_form๐ŸŸข structuralPfeuty 1970: Delta = 2h - J
@sweepsecond_closed_form๐ŸŸข structuralPfeuty 1970: Delta = 2h - J
@sweepsecond_closed_form๐ŸŸข structuralPfeuty 1970: ฮ” = 2h - J
@sweepsecond_closed_form๐ŸŸข structuralPfeuty 1970: ฮ” = 2h โˆ’ J
@sweeped_finite_size๐ŸŸข structural"Pfeuty 1970: ฮ” = 2h โˆ’ J
@sweepsecond_closed_form๐ŸŸข structuralPfeuty 1970: ฮ” = 2h - J

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), MassGap(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 1.0e-10, refs = ["Ising QCP at h = J: gap closes (Pfeuty 1970)"])
verify(TFIM(; J = 1.0, h = 0.5), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(0.5 - 1.0), agree_within = 1.0e-10, refs = ["Pfeuty 1970: ฮ” = 2|h - J| (BC-independent)"])
verify(TFIM(; J = 1.0, h = 0.5), MassGap(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-10, refs = ["Pfeuty 1970: Delta = 2|h - J| = 1 at (J=1, h=0.5)"])
verify(TFIM(; J = 1.0, h = h), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(h - 1.0), agree_within = 1.0e-10, refs = ["Pfeuty 1970: ฮ” = 2|h - J| (Bogoliubov dispersion minimum)"])
verify(TFIM(; J = J, h = h), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(h - J), agree_within = 1.0e-10, refs = ["Pfeuty 1970: ฮ” = 2|h - J|"])
verify(TFIM(; J = J, h = h), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(h - J), agree_within = 1.0e-10, refs = ["Pfeuty 1970: Delta = 2|h - J|"])
verify(TFIM(; J = J, h = h), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(h - J), agree_within = 1.0e-10, refs = ["Pfeuty 1970: Delta = 2|h - J| (Bogoliubov dispersion minimum)"])
verify(TFIM(; J = J, h = h), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(h - J), agree_within = 1.0e-10, refs = ["Pfeuty 1970: ฮ” = 2|h - J|"])
verify(TFIM(; J = J, h = h), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(h - J), agree_within = 1.0e-12, refs = ["Pfeuty 1970: ฮ” = 2|h โˆ’ J| (thermodynamic-limit BdG gap; PBC/OBC kernels at finite N differ โ€” see TFIM.jl docstring)"])
verify(TFIM(; J = J, h = h), MassGap(), Infinite(); route = :ed_finite_size, independent = [ed_gap(N) for N = Ns], at = ["N=$(N)" for N = Ns], agree_within = 1.0e-10, refs = ["Pfeuty 1970: ฮ” = 2|h โˆ’ J|; independent dense ED of " * "H = โˆ’h ฮฃ ฯƒหฃ at J=0 (decoupled spins, gap = 2h exact โˆ€N)"])
verify(TFIM(; J = J, h = h), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(h - J), agree_within = 1.0e-10, refs = ["Pfeuty 1970: ฮ” = 2|h - J| (= 0 at the QCP h = J)"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 11 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: TFIM ยท Quantity: MassGap ยท Atlas index