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๐ŸŸข J1J2Heisenberg1D/Energy/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 delegation, status exact, reliability high, refs: Hulthen1938 | MajumdarGhosh1969 | WhiteAffleck1996
  • Closed form at j=0 (Heisenberg1D delegate) and j=1/2 (MajumdarGhosh delegate); generic j deferred.

Corroboration

regimemechanismindependencerefsfile
@sweepdelegation_invariant๐ŸŸก assertedJ1J2 at J2=0 delegates to Heisenberg1D (Hulthen 1938)test/models/quantum/Heisenberg/test_j1j2_heisenberg1d_structural.jl
@sweepdelegation_invariant๐ŸŸก assertedJ1J2 at J2=J1/2 delegates to MajumdarGhosh (exact dimer, -3J/8)test/models/quantum/Heisenberg/test_j1j2_heisenberg1d_structural.jl
@sweepsecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: at J2 = J1/2 GS is exact dimer-product state โ‡’ eโ‚€ = -3J1/8test/models/quantum/Heisenberg/test_j1j2_heisenberg1d_structural.jl
@sweepsecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: at J2 = J1/2 GS is exact dimer-product state โ‡’ eโ‚€ = -3J1/8test/models/quantum/Heisenberg/test_j1j2_heisenberg1d_structural.jl
@sweepsecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: at J2 = J1/2 GS is exact dimer-product state โ‡’ eโ‚€ = -3J1/8test/models/quantum/Heisenberg/test_j1j2_heisenberg1d_structural.jl
@sweeped_finite_size๐ŸŸข structuralMajumdar-Ghosh 1969: exact dimer GS, E0/N = -3J/8 size-independent (PBC even N)test/models/quantum/Heisenberg/test_j1j2_heisenberg1d_verify_ed.jl

Test calls

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

verify(J1J2Heisenberg1D(; J1 = 1.0, J2 = 0.0), Energy(:per_site), Infinite(); route = :delegation_invariant, independent = QAtlas.fetch(Heisenberg1D(), GroundStateEnergyDensity(), Infinite()), agree_within = 1.0e-12, refs = ["J1J2 at J2=0 delegates to Heisenberg1D (Hulthen 1938)"])
verify(J1J2Heisenberg1D(; J1 = 1.0, J2 = 0.5), Energy(:per_site), Infinite(); route = :delegation_invariant, independent = QAtlas.fetch(MajumdarGhosh(; J = 1.0), GroundStateEnergyDensity(), Infinite()), agree_within = 1.0e-12, refs = ["J1J2 at J2=J1/2 delegates to MajumdarGhosh (exact dimer, -3J/8)"])
verify(J1J2Heisenberg1D(; 0.5 = 0.5, J2 = 0.5 / 2), Energy(:per_site), Infinite(); route = :second_closed_form, independent = (-3 * 0.5) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: at J2 = J1/2 GS is exact dimer-product state โ‡’ eโ‚€ = -3J1/8"])
verify(J1J2Heisenberg1D(; 1.0 = 1.0, J2 = 1.0 / 2), Energy(:per_site), Infinite(); route = :second_closed_form, independent = (-3 * 1.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: at J2 = J1/2 GS is exact dimer-product state โ‡’ eโ‚€ = -3J1/8"])
verify(J1J2Heisenberg1D(; 2.0 = 2.0, J2 = 2.0 / 2), Energy(:per_site), Infinite(); route = :second_closed_form, independent = (-3 * 2.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: at J2 = J1/2 GS is exact dimer-product state โ‡’ eโ‚€ = -3J1/8"])
verify(J1J2Heisenberg1D(; J1 = 1.0, J2 = 0.5), Energy(:per_site), Infinite(); route = :ed_finite_size, independent = [j1j2_pbc_e0(N, 1.0, 0.5) for N = verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12))], at = ["N=$(N)" for N = verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12))], agree_within = 1.0e-6, refs = ["Majumdar-Ghosh 1969: exact dimer GS, E0/N = -3J/8 size-independent (PBC even N)"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 6 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: J1J2Heisenberg1D ยท Quantity: Energy ยท Atlas index