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🔵 Hubbard1D/GroundStateEnergyDensity/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: coherent

An independent card exists and the value satisfies an internal invariant; no external value re-derives it yet.

src claim

  • method bethe_ansatz, status exact, reliability high, refs: LiebWu1968 | Essler2005
  • Lieb-Wu integral E₀/N = -4t ∫₀^∞ J₀(ω) J₁(ω) / [ω (1+exp(ωU/2t))] dω at half filling (μ=U/2).

Corroboration

regimemechanismindependencerefsfile
@sweeplimiting_case🟡 assertedEssler et al. 2005 (Lieb-Wu Eq. 1.21): e_0 = -4t/π at U → 0 half-filling (two decoupled tight-binding chains)test/models/quantum/misc/test_hubbard1d_gsed_U0_batch.jl
@sweeplimiting_case🟡 assertedEssler et al. 2005 (Lieb-Wu Eq. 1.21): e_0 = -4t/π at U → 0 half-filling (two decoupled tight-binding chains)test/models/quantum/misc/test_hubbard1d_gsed_U0_batch.jl
@sweeplimiting_case🟡 assertedEssler et al. 2005 (Lieb-Wu Eq. 1.21): e_0 = -4t/π at U → 0 half-filling (two decoupled tight-binding chains)test/models/quantum/misc/test_hubbard1d_gsed_U0_batch.jl
@sweeplimiting_case🟡 assertedLieb-Wu 1968 / Essler et al. 2005: e_0 → -4t² log(2) / U at U → ∞ (Heisenberg-AFM reduction); t ≠ 1 distinguishes the t prefactor from t²test/models/quantum/misc/test_hubbard1d_gsed_U0_batch.jl
@sweeplimiting_case🟡 assertedLieb-Wu 1968 / Essler et al. 2005: e_0 → -4t² log(2) / U at U → ∞ (Heisenberg-AFM reduction); t ≠ 1 distinguishes the t prefactor from t²test/models/quantum/misc/test_hubbard1d_gsed_U0_batch.jl

Test calls

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

verify(Hubbard1D(; 0.5 = 0.5, 0.0001 * 0.5 = 0.0001 * 0.5, μ = (0.0001 * 0.5) / 2), GroundStateEnergyDensity(), Infinite(); route = :limiting_case, independent = (-4 * 0.5) / π, agree_within = 0.001, refs = ["Essler et al. 2005 (Lieb-Wu Eq. 1.21): e_0 = -4t/π at U → 0 half-filling (two decoupled tight-binding chains)"])
verify(Hubbard1D(; 1.0 = 1.0, 0.0001 * 1.0 = 0.0001 * 1.0, μ = (0.0001 * 1.0) / 2), GroundStateEnergyDensity(), Infinite(); route = :limiting_case, independent = (-4 * 1.0) / π, agree_within = 0.001, refs = ["Essler et al. 2005 (Lieb-Wu Eq. 1.21): e_0 = -4t/π at U → 0 half-filling (two decoupled tight-binding chains)"])
verify(Hubbard1D(; 2.0 = 2.0, 0.0001 * 2.0 = 0.0001 * 2.0, μ = (0.0001 * 2.0) / 2), GroundStateEnergyDensity(), Infinite(); route = :limiting_case, independent = (-4 * 2.0) / π, agree_within = 0.001, refs = ["Essler et al. 2005 (Lieb-Wu Eq. 1.21): e_0 = -4t/π at U → 0 half-filling (two decoupled tight-binding chains)"])
verify(Hubbard1D(; 0.5 = 0.5, 100.0 * 0.5 = 100.0 * 0.5, μ = (100.0 * 0.5) / 2), GroundStateEnergyDensity(), Infinite(); route = :limiting_case, independent = (-4 * 0.5 ^ 2 * log(2)) / (100.0 * 0.5), agree_within = 0.0001, refs = ["Lieb-Wu 1968 / Essler et al. 2005: e_0 → -4t² log(2) / U at U → ∞ (Heisenberg-AFM reduction); t ≠ 1 distinguishes the t prefactor from t²"])
verify(Hubbard1D(; 2.0 = 2.0, 100.0 * 2.0 = 100.0 * 2.0, μ = (100.0 * 2.0) / 2), GroundStateEnergyDensity(), Infinite(); route = :limiting_case, independent = (-4 * 2.0 ^ 2 * log(2)) / (100.0 * 2.0), agree_within = 0.0001, refs = ["Lieb-Wu 1968 / Essler et al. 2005: e_0 → -4t² log(2) / U at U → ∞ (Heisenberg-AFM reduction); t ≠ 1 distinguishes the t prefactor from t²"])

Assurance (provisional)

  • level: coherent 🔵
  • cards: 5 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: Hubbard1D · Quantity: GroundStateEnergyDensity · Atlas index