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๐ŸŸข HeisenbergXYZ/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 xxz_delegation, status exact, reliability high, refs: YangYang1966 | LiebSchultzMattis1961 | Baxter1972
  • Delegates to XXZ1D(J=Jx, ฮ”=Jz/Jx) when Jx=Jy; XY anisotropic line (Jz=0) via Lieb-Schultz-Mattis 1961 closed form; generic XYZ (Jxโ‰ Jy, Jzโ‰ 0) deferred to Baxter elliptic Phase 3.

Corroboration

regimemechanismindependencerefsfile
@isotropiced_finite_size๐ŸŸข structuralHulthen 1938 via delegation to XXZ1D at Delta=1test/models/quantum/XXZ/test_heisenberg_xyz.jl
@xxlimiting_case๐ŸŸก assertedJordan-Wigner free fermion: XX limit Jz=0 gives e0 = -J/pitest/models/quantum/XXZ/test_heisenberg_xyz.jl
@xxzlimiting_case๐ŸŸก assertedFM saturation: Jz=-J gives e0 = -J/4test/models/quantum/XXZ/test_heisenberg_xyz.jl

Test calls

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

verify(HeisenbergXYZ(; Jx = 1.0, Jy = 1.0, Jz = 1.0), Energy(:per_site), Infinite(); route = :ed_finite_size, independent = [(dense_spectrum(chain_hamiltonian(2, N, 1.0 * (kron(Sx, Sx) + kron(Sy, Sy) + kron(Sz, Sz)))))[1] / (N - 1) for N = verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12, 14))], at = ["N=$(verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12, 14)))" for verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12, 14)) = verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12, 14))], agree_within = 0.05, refs = ["Hulthen 1938 via delegation to XXZ1D at Delta=1"])
verify(HeisenbergXYZ(; Jx = 1.0, Jy = 1.0, Jz = 0.0), Energy(:per_site), Infinite(); route = :limiting_case, independent = -1 / ฯ€, agree_within = 1.0e-12, refs = ["Jordan-Wigner free fermion: XX limit Jz=0 gives e0 = -J/pi"])
verify(HeisenbergXYZ(; Jx = 1.0, Jy = 1.0, Jz = -1.0), Energy(:per_site), Infinite(); route = :limiting_case, independent = -1 / 4, agree_within = 1.0e-12, refs = ["FM saturation: Jz=-J gives e0 = -J/4"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 3 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

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