Fast, robust, and amplified transfer of topological edge modes on a time-varying mechanical chain

We show that it is possible to successfully, rapidly, and robustly transfer a topological vibrational edge mode across a time-varying mechanical chain. The stiffness values of the springs of the chain are arranged in an alternating staggered way such that we obtain a mechanical analog of the quantum Su-Schrieffer-Heeger model, which exhibits a nontrivial topological phase. Using optimal control methods, we are able to design control schemes for...