Wavepackets falling under a mirror

Details Wavepackets falling under a mirror Wavepackets falling under a mirror

2002-03-07

arxiv.org/abs/quant-ph/0203036v5

Physics

Quantum Physics

Latex format, 23 pages, 11 eps figures, Airy packet treatment added

Scientific paper

We depict and analyze a new effect for wavepackets falling freely under a barrier or well. The effect appears for wavepackets whose initial spread is smaller than the combination $\ds \sqrt{\frac{l_g^3}{|z_0|}}$, between the gravitational length scale $\ds l_g = \frac{1}{(2 m^2 g)^{1/3}}$ and the initial location of the packet $z_0$. It consists of a diffractive structure that is generated by the falling and spreading wavepacket and the waves reflected from the obstacle. The effect is enhanced when the Gross-Pitaevskii interaction for positive scattering length is included. The theoretical analysis reproduces the essential features of the effect. Experiments emanating from the findings are proposed.

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