Barrier Perturbation Induced Superarrivals and Nonlocality in a Time-Evolving Wave Packet

1999/07/08 by Somshubhro Bandyopadhyay, Bandyopadhyay, Somshubhro, Dipankar Home +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9907029

latex, 6 figures

arxiv created 1999/07/08 · openalex publication_date 1999/07/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the time evolving probability of a Gaussian wave packet to be reflected from a rectangular potential barrier which is perturbed by reducing its height. A time interval is found during which this probability of reflection is enhanced (superarrivals) compared to the unperturbed case. Such a time evolving reflection probability implies that the effect of perturbation propagates across the wave packet faster than its group velocity - a curious form of nonlocality.

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