Exploring topological dynamics in a classical stochastic random walk.

The appearance of topological effects in systems exhibiting a nontrivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic random walk version of the Su-Schrieffer-Heeger model with no relation to coherent wave dynamics. We explain that the commonly used topological invariant in the momentum space translates into an invariant in a counting-field space. This invariant gives rise to clear signatures of the topological phase in an associated escape time distribution.

Preprint on arXiv

Random-walk topological transition revealed via electron counting

The appearance of topological effects in systems exhibiting a non-trivial

topological band structure strongly relies on the coherent wave nature of the

equations of motion. Here, we reveal topological dynamics in a classical

stochastic random walk version of the Su-Schrieffer-Heeger model with no

re…

topological band structure strongly relies on the coherent wave nature of the

equations of motion. Here, we reveal topological dynamics in a classical

stochastic random walk version of the Su-Schrieffer-Heeger model with no

re…

Published in Physical Review B

Random-walk topological transition revealed via electron counting

The appearance of topological effects in systems exhibiting a nontrivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic random walk version of the Su-Schrieffer-Heeger model with no rel…