A Probability Distribution for Quantum Tunneling Times

Figure 5

Distributions of tunneling decay times through the barrier of the potential for the initial bound state given by (18). The histograms were built by using the Monte Carlo procedure described in Figure 2 and in the main text. The vertical grey lines indicate percentiles of the distribution (the first and the last correspond to and , the remaining ones range from to , in steps of ); the three thick vertical lines indicate the first quartile (percentile ), the median, and the third quartile (percentile ). Rydberg atomic units were used in all the plots. Top: barrier width and bin length ( attoseconds). Bottom: barrier width and bin length ( attoseconds).