π’ XXZ1D/SusceptibilityZZ/OBC
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.
src claim
- method
dense_ed, reliabilityhigh
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | ed_finite_size | π’ structural | chizz = beta * Var(Mz) / N via density matrix from genericed chain_hamiltonian | test/models/quantum/XXZ/test_XXZ1D_observables.jl |
@sweep | second_closed_form | π’ structural | XXZ1D OBC even N: singlet GS mz=0 β Var(S^ztotal)=0 β Ο_zz=0 | test/models/quantum/XXZ/test_xxz1d_obc_susc_batch.jl |
@sweep | second_closed_form | π’ structural | XXZ1D OBC odd N: mz=Β±1/2 doublet GS β Οzz = Ξ²Β·Var(Ο^z_total)/N = Ξ²/N | test/models/quantum/XXZ/test_xxz1d_obc_susc_batch.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(XXZ1D(; J = J, Ξ = Delta), SusceptibilityZZ(), OBC(N); route = :ed_finite_size, fetch_kw = (; beta = beta), independent = chi_ind, agree_within = 1.0e-9, refs = ["chi_zz = beta * Var(Mz) / N via density matrix from generic_ed chain_hamiltonian"])verify(XXZ1D(), SusceptibilityZZ(), OBC(N); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-9, refs = ["XXZ1D OBC even N: singlet GS m_z=0 β Var(S^z_total)=0 β Ο_zz=0"], fetch_kw = (; J = J, Ξ = Ξ, beta = BETA))verify(XXZ1D(), SusceptibilityZZ(), OBC(N); route = :second_closed_form, independent = BETA / N, agree_within = 1.0e-6, refs = ["XXZ1D OBC odd N: m_z=Β±1/2 doublet GS β Ο_zz = Ξ²Β·Var(Ο^z_total)/N = Ξ²/N"], fetch_kw = (; J = J, Ξ = Ξ, beta = BETA))Assurance (provisional)
- level: corroborated-at-p π’
- cards: 3 Β· model ED-feasible
- RES not wired β measured residuals / confidence are not shown yet.
β Model: XXZ1D Β· Quantity: SusceptibilityZZ Β· Atlas index