Can one detect a tunneling particle inside of a barrier? Traditional quantum measurement of the position of a tunneling particle inside a barrier transfers significant energy to the particle, precluding observation of a tunneling particle while it is in the ‘forbidden’ region. Instead, one might probe a tunneling particle ‘weakly,’ so as to prevent energy transfer, as envisioned by a weak Larmor measurement, and post-selecting on the particle having been in the probed region of the barrier. We theoretically study how this weak, non-disturbing measurement can become strong upon post-selection and enhance transmission through the barrier. We discover a new timescale corresponding to the duration over which particles in the probed region are significantly disturbed, which is tempting to interpret as the time it takes for particles to escape the probed region undetected. We observe that such measurements may lead to experimentally realizable ‘observationally assisted barrier penetration.’
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