Acceleration of Material Waves in Fermi Accelerator

Figure 3

The above diagram of the phase space evolution of a classical ensemble of particles initially in a narrowly peaked Gaussian distribution originating from the area of phase space that supports accelerated trajectories. The initial distribution, centered at 𝑧=2𝜋² and 𝑝=0 with Δ𝑝(0)=Δ𝑧(0)=0.1, is propagated for 𝜖=1 (a) and 𝜖=1.7 (b) for time 𝑡=1000. The numerical calculations correspond to Cesium atoms of mass 𝑚=2.2×10⁻²⁵Kg bouncing off an atomic mirror with an intensity modulation of 𝑎=0.55. The modulation frequencies extend to the megahertz range, and 𝜅⁻¹=0.55𝜇m.

(a)

(b)