Wave Packet Superarrival in Fractional Nanostructured Media with Decelerating Potentials: Implications for Optoelectronic Applications

Superarrival, a quantum effect where a wave packet arrives earlier than its free-space counterpart, is investigated in fractional nanostructured media. We model a Gaussian wave packet interacting with a uniformly decelerating potential barrier or well using the fractional Schrödinger equation and the Split-Step Finite Difference method. The impact of the Lévy stability index, wave packet width, and initial distance on superarrival is analyzed. Results show that fractional media strongly enhance superarrival, especially for wider, low-energy packets interacting with barriers. These findings underscore the role of nonlocality in quantum transport and suggest potential applications in nanoscale optoelectronic devices such as tunable delay lines, ultrafast modulators, and quantum information processors.