Category: Physics

Summary: Testing whether delayed adaptive control creates a favorable time window for boosting edge-state transport in a disordered Su-Schrieffer-Heeger chain with dephasing.

Topological edge transport is often robust, but realistic systems also suffer disorder, dephasing, and control delays. This experiment asks whether delayed adaptation can still improve transfer through an SSH-like chain, and whether the benefit is largest in an intermediate timing window rather than at zero delay.

The script builds an SSH Hamiltonian, runs transport schedules under several control delays, and compares transfer gain, coherence gain, and inverse-participation-ratio changes. By scanning discrete delays such as 0, 2, 6, and 12 steps, it looks for a re-entrant regime where a moderate delay outperforms both immediate and very slow intervention.

That makes the project a timing study of topological transport control, not just a static localization calculation. The value lies in identifying whether adaptive timing can exploit edge-state structure before dephasing washes the signal out.

Method: Repeated SSH Hamiltonian simulations with delayed adaptive schedules, comparing transfer efficiency, coherence, and localization metrics across control delays.

What is measured: Best delay, transfer gain, coherence gain, inverse participation ratio gain, positive-window fraction, and adaptive transport advantage.