Communicating with a wave packet using quantum superarrival

TL;DR

This paper demonstrates a quantum superarrival effect where a wave packet's transmission probability exceeds free propagation during a transient barrier interaction, enabling faster-than-group-velocity information transfer.

Contribution

It provides an analytical description of superarrival in wave packets and links barrier strength to the magnitude of this effect, revealing new quantum communication insights.

Findings

Superarrival causes transmission probability to surpass free propagation.

Information transfer speed can exceed wave packet group velocity.

Barrier strength correlates with superarrival magnitude.

Abstract

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'.