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🟒 XXZ1D/GroundStateEnergyDensity/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 bethe_ansatz, status exact, reliability high, refs: YangYang1969 | desCloizeauxPearson1962
  • eβ‚€(Ξ”) at the isotropic AF point (Ξ”=1) reduces to Heisenberg1D HulthΓ©n value J(1/4-ln 2); at the FM point (Ξ”=-1) the aligned state is exact, eβ‚€ = -J/4.

Corroboration

regimemechanismindependencerefsfile
@fmsecond_closed_form🟒 structuralXXZ FM point Ξ”=-1: aligned state exact, e0 = -J/4test/identities/test_identities_XXZ1D.jl
@su2delegation_invariant🟑 assertedXXZ1D(Ξ”=1) ≑ Heisenberg1D: independent code paths must agreetest/identities/test_identities_XXZ1D.jl
@su2delegation_invariant🟑 assertedXXZ1D at Delta=1 === Heisenberg1D: two independent code paths must agreetest/models/quantum/XXZ/test_XXZ1D.jl

Test calls

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

verify(XXZ1D(; J = 1.0, Ξ” = -1.0), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = -0.25, agree_within = 1.0e-12, refs = ["XXZ FM point Ξ”=-1: aligned state exact, e0 = -J/4"])
verify(XXZ1D(; J = 1.0, Ξ” = 1.0), GroundStateEnergyDensity(), Infinite(); route = :delegation_invariant, independent = QAtlas.fetch(Heisenberg1D(), GroundStateEnergyDensity(), Infinite()), agree_within = 1.0e-12, refs = ["XXZ1D(Ξ”=1) ≑ Heisenberg1D: independent code paths must agree"])
verify(XXZ1D(; J = 1.0, Ξ” = 1.0), GroundStateEnergyDensity(), Infinite(); route = :delegation_invariant, independent = QAtlas.fetch(Heisenberg1D(), GroundStateEnergyDensity(), Infinite()), agree_within = 1.0e-12, refs = ["XXZ1D at Delta=1 === Heisenberg1D: two independent code paths must agree"])

Assurance (provisional)

  • level: corroborated-at-p 🟒
  • cards: 3 Β· model ED-feasible
  • RES not wired β€” measured residuals / confidence are not shown yet.

← Model: XXZ1D Β· Quantity: GroundStateEnergyDensity Β· Atlas index