Figure 8
Comparison of the semiclassical and Bohmian Joint arrival times distributions for sodium atoms, for different screen positions. The right and left columns correspond to the the screen positions \(Y_{L,R}= 1\) cm (far-field) and \(Y_{L,R}= 0.5\) mm (near-field), respectively. Panels (a) and (b) are scatter plots of the Bohmian joint spatio-temporal distribution with considering the wave function collapse effect. Panels (c) and (d) show the semiclassical joint distribution that calculated from classical free fall and quantum initial momentum distribution, \(f_P\), with considering the initial positions of all the particles at the \(y=0\). Panels (e) and (f) are the semiclassical joint distributions that obtained from the initial phase-space distributions given in Eq. (9). Panels (g) and (h) are the semiclassical joint distributions that obtained from the initial phase-space distributions given in Eq. (10). Up panels represent the corresponding marginal arrival time distributions.
