Random-walk topological transition revealed via electron counting. (arXiv:1707.06096v2 [quant-ph] UPDATED)

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
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.

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