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We use the Lindblad equation approach to investigate topological phaseshosting more than one localized state at each side of a disordered SSH chainwith properly tuned long range hoppings. Inducing a non equilibrium steadystate across the chain, we probe the robustness of each phase and the fate ofthe edge modes looking at the distribution of electrons along the chain and thecorresponding standard deviation in presence of different kinds of disordereither preserving, or not, the symmetries of the Hamiltonian.

The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model