A Probability Distribution for Quantum Tunneling Times

Figure 8

Top: the stationary time and the wave number distribution , for , barrier width , , and an initial state , with . The vertical lines correspond to and . Middle: distribution for the transmission times, with the histogram built by the Monte Carlo procedure described in the text. Vertical lines indicate the percentiles, as in the Figure 5. Bottom: close view of the above histogram for the range of small times. The first vertical line at the left indicates the time the light takes to cross the barrier distance. In both the histograms we used a bin length attoseconds. Rydberg atomic units were used in all these plots.