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We investigate a tight-binding electronic chain featuring diagonal and offdiagonal disorder, these being modelled through the long-range-correlated fractional Brownian motion. Particularly, by employing exact diagonalization methods, we evaluate how the eigenstate spectrum of the system and its related single-particle dynamics respond to both competing sources of disorder. Moreover, we report the possibility of carrying out efficient end-to-end quantum-state transfer protocols even in the presence of such generalized disorder due to the appearance of extended states around the middle of the band in the limit of strong correlations.

We studied the interference resulting from the superposition of optical lattices, which are non-diffracting fields propagating in free space, and showed a Talbot self-imaging effect. These lattices are formed by spatially Fourier transforming a "quasi"-orbital angular momentum (OAM) state. We experimentally observed that although the Talbot images change, the Talbot length is insensitive to the topological charge of the "quasi"-OAM state. Our findings can be useful for laser-written photonic lattices.

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On a square lattice with aperiodic hopping terms, the dynamics of an initially localized one electron wave‐packet is investigated using a Taylor formalism to solve Schrödinger dynamic equation. The calculations suggest that a fast electron propagation (ballistic mode) is detected for a range of values of aperiodicity measure ν. When inserting static electric field effects in the model, the existence of an oscillatory behavior analogously to electronic dynamics in crystalline systems is verified (i.e., Bloch oscillations). The frequency and the the size of these oscillations are analyzed and the results are compared with the standard semi‐classical approach used in crystalline lattices.