Abstract
We shall discuss how to engineer wave function delocalization in disordered systemsmodeled by tight binding Hamiltonians in d > 1 dimensions. Exact analytical results willbe presented for the case of a two legged ladder network infinitely large along the x-axis,revealing how it can finally be used as a switching device. The results persist even whenthe ladder expands in the transverse direction, making a journey towards a real twodimensional system. The study gives rise to the possibility of designing disorderedpotentials that might work as band-pass filters for quantum waves, such as matter wavesin optical lattices.
24-08-2026