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

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

2009-12-09

arxiv.org/abs/0912.1771v1

Physics

Quantum Physics

Scientific paper

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.

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