š¢ Kitaev1D/MassGap/OBC
Generated by docs/atlas/generate.jl ā 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 ā a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
src claim
- method
bdg, statusexact, reliabilityhigh, refs: Kitaev2001 | Alicea2012 - "Smallest non-negative BdG eigenvalue. In the topological phase this IS the " * "Majorana boundary-mode energy, splitting ~ e^{-N/xi}; in the trivial phase it " * "converges to the bulk gap. That reading is an interpretation of this value in " * "a phase, not a second quantity (#816 deleted EdgeModeEnergy, which duplicated it)."
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@topological | second_closed_form | š¢ structural | Kitaev sweet spot Ī¼=0, t=Ī=1: exact Majorana boundary, OBC gap ā 0 | test/models/quantum/misc/test_kitaev1d.jl |
@topological | second_closed_form | š¢ structural | Kitaev 2001 sweet spot OBC: Majorana zero modes are exact (E_edge = 0 for any N) | test/models/quantum/misc/test_kitaev1d.jl |
@topological | second_closed_form | š¢ structural | Kitaev 2001 sweet spot OBC: Majorana zero modes are exact (E_edge = 0 for any N) | test/models/quantum/misc/test_kitaev1d.jl |
@topological | second_closed_form | š¢ structural | Kitaev 2001 sweet spot OBC: Majorana zero modes are exact (E_edge = 0 for any N) | test/models/quantum/misc/test_kitaev1d.jl |
@topological | second_closed_form | š¢ structural | Kitaev 2001 sweet spot OBC: Majorana zero modes are exact (E_edge = 0 for any N) | test/models/quantum/misc/test_kitaev1d.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(Kitaev1D(; Ī¼ = 0.0, t = 1.0, Ī = 1.0), MassGap(), OBC(40); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-9, refs = ["Kitaev sweet spot Ī¼=0, t=Ī=1: exact Majorana boundary, OBC gap ā 0"])verify(Kitaev1D(; Ī¼ = 0.0, t = 1.0, Ī = 1.0), MassGap(), OBC(6); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Kitaev 2001 sweet spot OBC: Majorana zero modes are exact (E_edge = 0 for any N)"])verify(Kitaev1D(; Ī¼ = 0.0, t = 1.0, Ī = 1.0), MassGap(), OBC(8); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Kitaev 2001 sweet spot OBC: Majorana zero modes are exact (E_edge = 0 for any N)"])verify(Kitaev1D(; Ī¼ = 0.0, t = 1.0, Ī = 1.0), MassGap(), OBC(16); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Kitaev 2001 sweet spot OBC: Majorana zero modes are exact (E_edge = 0 for any N)"])verify(Kitaev1D(; Ī¼ = 0.0, t = 1.0, Ī = 1.0), MassGap(), OBC(32); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Kitaev 2001 sweet spot OBC: Majorana zero modes are exact (E_edge = 0 for any N)"])Assurance (provisional)
- level: corroborated-at-p š¢
- cards: 5 Ā· model ED-feasible
- RES not wired ā measured residuals / confidence are not shown yet.