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Journal of Optoelectronical Nanostructures

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

Maryam Sabzevar, Mehdi Solaymani, M.H. Ehsani

Published Aug 6, 2025• 0 citations

Abstract

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.

DOI: 10.71577/jopn.2026.1214028

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An analytical treatment of a propagating wave packet incident on a transient barrier reveals a counterintuitive quantum mechanical effect in which, for a particular time interval, the time-varying transmission probability {\it exceeds} (`superarrival') that for the free propagation of the wave packet. It is found that the speed with which the information about the barrier perturbation propagates across the wave packet can exceed the group velocity of the wave packet. An interesting implication of this effect regarding information transfer is analyzed by showing one-to-one correspondence between the strength of the barrier and the magnitude of `superarrival'.

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