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Deutsche Physikalische Gessellschaft IOP Institute of Physics

The meaning of group delay in barrier tunnelling: a re-examination of superluminal group velocities

Herbert G Winful

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We show that the group delay in tunnelling is not a traversal time but a lifetime of stored energy or stored probability escaping through both ends of the barrier. Because it is a lifetime associated with both forward (transmitted) and backward (reflected) fluxes, it cannot be used to define a group velocity for forward transit in cases where a wavepacket is mostly reflected. For photonic tunnelling barriers the group delay is identical to the dwell time which is also a property of an entire wavefunction with reflected and transmitted components. Theoretical predictions and experimental reports of superluminal group velocities in barrier tunnelling are re-interpreted.


PACS

42.70.Qs Photonic bandgap materials

42.50.-p Quantum optics

03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations

Subjects

Quantum gases, liquids and solids

Optics, quantum optics and lasers

Dates

Issue 6 (June 2006)

Received 21 January 2006

Published 13 June 2006



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