π’ TFIM/LoschmidtEcho/Infinite
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
analytic, reliabilityhigh, refs: Heyl-Polkovnikov-Kehrein PRL 110, 135704 (2013) | Heyl Rep. Prog. Phys. 81, 054001 (2018) - Ξ»(t) = -(1/2Ο) β«β^Ο log|cosΒ²ΞΞΈk + sinΒ²ΞΞΈk e^{-2iΞk(hf) t}|Β² dk via QuadGK.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | second_closed_form | π’ structural | Loschmidt rate function r(t) = -(1/N) log | β¨Οβ |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(TFIM(; J = J, h = h_f), LoschmidtEcho(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Loschmidt rate function r(t) = -(1/N) log |β¨Οβ|e^{-iHt}|Οββ©|Β² β r(t=0) = 0 (identity evolution, normalized state)"], fetch_kw = (; initial = TFIM(; J = J, h = h_i), t = 0.0))Assurance (provisional)
- level: corroborated-at-p π’
- cards: 1 Β· model ED-feasible
- RES not wired β measured residuals / confidence are not shown yet.