🟢 XXZ1D/Energy/OBC

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: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method dense_ed, status exact, reliability high, refs: YangYang1966 | Takahashi1999
  • Total ⟨H⟩(β) by dense ED of the 2^N × 2^N XXZ Hamiltonian.

Corroboration

regimemechanismindependencerefsfile
@gaplessed_finite_size🟢 structuralOBC thermal energy from genericed thermofrom_spectrumtest/models/quantum/XXZ/test_XXZ1D_observables.jl
@gaplessed_finite_size🟢 structuralDirect OBC ED via genericed chainhamiltonian + thermofromspectrumtest/models/quantum/XXZ/test_XXZ1D_thermal.jl
@gaplesssum_rule🟡 assertedTr(H_XXZ) = 0 for OBC (all Si.Si+1 bond terms traceless)test/models/quantum/XXZ/test_XXZ1D_thermal.jl
@gaplessed_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@gaplessed_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@gaplessed_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@gaplessed_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@gappeded_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@gappeded_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@gappeded_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@gappeded_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@su2ed_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@su2ed_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@su2ed_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl
@su2ed_finite_size🟢 structuralED black-box: chainhamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermofrom_spectrumtest/models/quantum/XXZ/test_xxz1d_obc_thermo_ED_batch.jl

Test calls

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

verify(XXZ1D(; 1.0 = 1.0, Δ = 0.5), Energy(), OBC(4); route = :ed_finite_size, fetch_kw = (; 1.0 = 1.0), independent = E_ind, agree_within = 1.0e-9, refs = ["OBC thermal energy from generic_ed thermo_from_spectrum"])
verify(XXZ1D(; 1.0 = 1.0, Δ = 0.7), Energy(), OBC(4); route = :ed_finite_size, fetch_kw = (; 1.0 = 1.0), independent = E_ind, agree_within = 1.0e-9, refs = ["Direct OBC ED via generic_ed chain_hamiltonian + thermo_from_spectrum"])
verify(XXZ1D(; J = 1.0, Δ = 0.5), Energy(), OBC(5); route = :sum_rule, fetch_kw = (; beta = 0.0), independent = 0.0, agree_within = 1.0e-12, refs = ["Tr(H_XXZ) = 0 for OBC (all Si.Si+1 bond terms traceless)"])
verify(XXZ1D(; 1.0 = 1.0, Δ = 0.5), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_E, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5))
verify(XXZ1D(; 1.0 = 1.0, Δ = 0.5), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_E, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 5.0 = 5.0))
verify(XXZ1D(; 1.0 = 1.0, Δ = 0.5), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5))
verify(XXZ1D(; 1.0 = 1.0, Δ = 0.5), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 5.0 = 5.0))
verify(XXZ1D(; 1.0 = 1.0, Δ = 2.0), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_E, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5))
verify(XXZ1D(; 1.0 = 1.0, Δ = 2.0), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_E, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 5.0 = 5.0))
verify(XXZ1D(; 1.0 = 1.0, Δ = 2.0), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5))
verify(XXZ1D(; 1.0 = 1.0, Δ = 2.0), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 5.0 = 5.0))
verify(XXZ1D(; 1.0 = 1.0, Δ = 1.0), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_E, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5))
verify(XXZ1D(; 1.0 = 1.0, Δ = 1.0), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_E, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 5.0 = 5.0))
verify(XXZ1D(; 1.0 = 1.0, Δ = 1.0), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5))
verify(XXZ1D(; 1.0 = 1.0, Δ = 1.0), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(SxSx+SySy+Δ·SzSz)), thermo_from_spectrum"], fetch_kw = (; 5.0 = 5.0))

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 15 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: XXZ1D · Quantity: Energy · Atlas index