Boomerang effect in classical stochastic models
arxiv(2024)
摘要
The phenomenon of Anderson localization, occurring in a disordered medium,
significantly influences the dynamics of quantum particles. A fascinating
manifestation of this is the "quantum boomerang effect" (QBE), observed when a
quantum particle, propelled with a finite initial velocity, reverses its
average trajectory, eventually halting at its starting point. This effect has
recently been demonstrated in an experiment replicating the quantum
kicked-rotor model. This research delves into the classical analog of QBE. We
uncover evidence of a similar effect in classical systems, characterized by the
absence of typical diffusion processes. Our investigation encompasses both
simplified probabilistic models and more complex phenomenological models that
link classical with quantum mechanics. The results indicate that the boomerang
effect is not confined to the quantum realm and may also be present in diverse
systems exhibiting subdiffusive behavior.
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