What is actually solved
ML Matrix diagonalizes the seeded real-symmetric tight-binding Hamiltonian. Each step applies U rho U†, then the exact site-projector dephasing map to off-diagonal elements.
Prediction: the coral trace will lose coherence before its mean position proves why.
READY TO RUN
COHERENTDEPHASED
TIME hbar/J →
Seeded experiment waiting.Run the bundled case to diagonalize H and propagate both density matrices.
—gamma0 × T/Tref
—|final mean − initial mean|
—Tr(rho²), final
—normalized l1, final
—including t = 0
MEASURED INTERPRETATION
Center-of-mass return is only one clue. Run the model to compare it with purity and off-diagonal coherence.
Worked mechanism
rho[j,k] → exp(−gamma dt) rho[j,k], j ≠ k
At T=1 and gamma0=0.05, gamma=0.05. Populations are unchanged by that dephasing substep; interference is not.
Interpret with care
This is a single-particle phenomenological model, not evidence for Orch-OR or a calibrated biological timescale. Operator splitting introduces numerical error; larger studies should use QuTiP and disorder ensembles.