Acceleration of Gaussian wave packets on wavy surfaces under electric fields
摘要
This research proposes a quantum mechanical analog to the classical wavy inclined surface experiment. Our conceptual framework utilizes a multiple quantum well structure to engineer a corrugated potential landscape and an external electric field to establish a potential gradient, effectively mimicking the inclined surface. Gaussian wave packets are employed as quantum mechanical counterparts to classical particles, allowing for an investigation into their dynamics under these conditions, leveraging the wave-particle duality. The primary objective is to identify novel mechanisms for accelerating wave packet motion, drawing parallels to the classical phenomenon where a ball on a wavy inclined surface accelerates more effectively than on a flat one. We present a hypothetical experimental design corroborated by numerical simulations, which explore the behavior across three distinct multi-quantum well geometries, potentially fabricable from semiconducting materials. Our findings delineate specific scenarios where quantum and classical predictions exhibit both correspondence and significant divergence, providing insights into the nuanced interplay governing wave packet acceleration in engineered potential environments.