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

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.

References in corpus (4)

• Superoscillation in speckle patterns
• Unusual Properties of Superoscillating Particles
• Analysis of Superoscillatory Wave Functions
• Physical mechanism of superluminal traversal time: interference between multiple finite wave packets

Cited by in corpus (4)

• "Superluminal paradox" in wavepacket propagation and its quantum mechanical resolution
• On causality, apparent 'superluminality' and reshaping in barrier penetration
• The Hartman effect and weak measurements "which are not really weak"
• Interference mechanism of seemingly superluminal tunnelling