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D. Sokolovski

Publications and source records attributed to D. Sokolovski.

74 records · Page 5Linked to original sources

"Superluminal" tunnelling, quantum measurements and the speed of information transfer

We exploit the analogy between tunnelling across a potential barrier and Aharonov's weak measurements to resolve the long standing paradox between the impossibility to exceed the speed of light and the seemingly 'superluminal' behaviur of the tunnelling particle in the barrier. We demonstrate that 'superluminality' occurs when the value of the duration $τ$ spent in the barrier is uncertain, whereas when $τ$ is known accurately, no 'superluminal' behaviur is observed. In all cases only subluminal durations contribute to the transmission, which precludes faster-than-light information transfer, as shown by a recent experiment.

quant-ph↗

Why relativity allows quantum tunnelling to 'take no time'?

In quantum tunnelling, what appears an infinitely fast barrier traversal can be explained in terms of an Aharonov-like weak measurement of the tunnelling time, in which the role of the pointer is played by the particle's own coordinate. A relativistic wavepacket is shown to be reshaped through a series of subluminal shifts which together produce an anomalous 'superluminal' result.

quant-ph↗