Physics – Quantum Physics
Scientific paper
2000-01-12
Phys. Rev. A, 62 (2000) 023808
Physics
Quantum Physics
16 text pages and 9 postscript figures
Scientific paper
10.1103/PhysRevA.62.023808
The time dependence of quantum evanescent waves generated by a point source with an infinite or a limited frequency band is analyzed. The evanescent wave is characterized by a forerunner (transient) related to the precise way the source is switched on. It is followed by an asymptotic, monochromatic wave which at long times reveals the oscillation frequency of the source. For a source with a sharp onset the forerunner is exponentially larger than the monochromatic solution and a transition from the transient regime to the asymtotic regime occurs only at asymptotically large times. In this case, the traversal time for tunneling plays already a role only in the transient regime. To enhance the monochromatic solution compared to the forerunner we investigate (a) frequency band limited sources and (b) the short time Fourier analysis (the spectrogram) corresponding to a detector which is frequency band limited. Neither of these two methods leads to a precise determination of the traversal time. However, if they are limited to determine the traversal time only with a precision of the traversal time itself both methods are successful: In this case the transient behavior of the evanescent waves is at a time of the order of the traversal time followed by a monochromatic wave which reveals the frequency of the source.
Buttiker Markus
Muga Gonzalo J.
No associations
LandOfFree
Time dependence of evanescent quantum waves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Time dependence of evanescent quantum waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time dependence of evanescent quantum waves will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-686543