QUANTUM INFORMATION FLOW

Microtubule tryptophan networks · arXiv:2602.02868v1 · interactive reconstruction

280 nm 8 2.04γ 0.108γ

01 Geometry — Trp sites & dipoles

Eight tryptophan chromophores extracted from PDB 1JFF, each an indole-ring centroid with its ¹Lₐ transition dipole. Drag to orbit · scroll to zoom.

02 Couplings — Δ and G matrices

Coherent dipole coupling Δ (Eq. 9) and collective radiative decay G (Eq. 10), in units of the single-site rate γ. Hover a cell for the value.

Δnm / γ — coherent coupling
Gnm / γ — collective decay

03 Spectrum — bright & dark modes

Excitonic eigenmodes classified by collective radiative rate Γj/γ. Above the dashed line are superradiant (bright); below, subradiant (dark).

04 Dynamics — Lindblad evolution

Trace-preserving evolution of the five preparations. Scrub or play the timeline; watch populations, pairwise coherence and entanglement flow.

t = 0 ps

05 Embeddings — routing across scale

Top-4 focal-tubulin pairwise coherences as the environment grows from a single tubulin to a three-tubulin segment (Fig. 8).

06 Non-Markovian backflow

Trace-distance Dk(t) between two preparations of a two-tubulin subsystem. Rising intervals (shaded) are information flowing back from the surrounding tubulins (Fig. 9).

07 Lifetime scaling & disorder

Super/subradiant radiative lifetimes vs assembly size. Ordered lattices reach the millisecond range; disorder collapses the contrast (Fig. 12).