Non-Dispersive, Accelerated Matter-Waves
Farhan Saif, Khalid Naseer, and Muhammad Ayub

TL;DR
This paper demonstrates a quantum mechanical phenomenon where matter-waves exhibit non-dispersive, accelerated motion in a gravitational field due to the interplay of dynamical localization and Fermi acceleration, feasible with current experimental methods.
Contribution
It reveals a new quantum effect where matter-waves can accelerate without dispersion, combining dynamical localization and Fermi acceleration under specific conditions.
Findings
Matter-waves can exhibit non-dispersive acceleration in gravity
The effect relies on overlapping windows of dynamical localization and Fermi acceleration
Experimental realization is feasible with current techniques
Abstract
It is shown that under certain dynamical conditions a material wave packet displays coherent, non-dispersive accelerated evolution in gravitational field over a modulated atomic mirror. The phenomenon takes place as a consequence of simultaneous presence of the dynamical localization and the coherent Fermi acceleration for the same modulation amplitude. It is purely a quantum mechanical effect as the windows of modulation strengths supporting dynamical localization and Fermi acceleration overlap for larger effective Plank constant. Present day experimental techniques make it feasible to realize the system in laboratory.
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