Accurate "superluminal" transmission via entanglement, superoscillations and quasi-Dirac distributions

TL;DR

This paper investigates how entanglement and superoscillations can produce apparently superluminal pulse transmission, revealing the underlying quantum and mathematical mechanisms and their analogies with tunneling and delayed choice experiments.

Contribution

It introduces a novel analysis of superluminal-like transmission using entanglement, superoscillations, and quasi-Dirac distributions, providing new insights into quantum pulse propagation.

Findings

The transmitted pulse appears superluminal due to a superoscillatory window.

The delay amplitude distribution approximates a Dirac delta-function.

Analogies with tunneling and Wheeler's delayed choice are discussed.

Abstract

We analyse a system in which, due to entanglement between the spin and spatial degrees of freedom, the reduced transmitted state has the shape of the freely propagating pulse translated in the complex co-ordinate plane. In the case an apparently "superluminal" advancement of the pulse the delay amplitude distribution is found to be a peculiar approximation to the Dirac delta-function, and the transmission coefficient exhibits a well-defined super-oscillatory window. Analogies with potential tunnelling and the Wheeler's delayed choice experiment are highlighted.