Fig. 10: Comparison of analytic and simulated resonances in accelerated double-barrier transmission. | npj Microgravity

Fig. 10: Comparison of analytic and simulated resonances in accelerated double-barrier transmission.

From: Theoretical investigation of an atomic Fabry Perot interferometer based acceleration sensor for microgravity environments

Fig. 10

Comparison of the analytic (black curve) and simulation (red dotted curve) results of transmission resonances of a beam of particles transmitting through double rectangular barriers in an accelerating field, for (a) a fixed acceleration a = 0 and varying initial momentum kick ki/κ and (b) a fixed initial momentum kick ki/κ = 0.45 and varying acceleration a. Here, the Schrödinger equation is simulated for a Gaussian cloud of a non-interacting BEC source. The parameters used for the simulation are: V1 = 3.83 × 10−32J, w = 1 μm and d = 4 μm. For 85Rb, the momentum scale \(\kappa =\sqrt{2m{V}_{1}}/\hslash =9.9\times 1{0}^{6}{\text{m}}^{-1}\). The external potential is given by V(z) = Vb − maz, where Vb is the double rectangular barrier potential. The analytical results agree well with the simulation result, validating the analytical model.

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