Abstract
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.
| Original language | English |
|---|---|
| Article number | 024104 |
| Journal | Physical Review E |
| Volume | 111 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 2025 |
Bibliographical note
Publisher Copyright:© 2025 American Physical Society.
Funding
We extend our gratitude to Patrizia Vignolo for her insightful discussions. We are grateful to the late Dominique Delande, whose engaging conversations on the boomerang effect greatly motivated us. We thank the High-Performance Computing Center (NPAD) at UFRN for providing computational resources. T.M. acknowledges the hospitality of ITAMP-Harvard, where part of this work was done. This work was supported by the Serrapilheira Institute through Grant No. Serra-1812-27802. This study was financed in part by CNPq and the Coordenacio de Aperfeicoamento de Pessoal de Navel Superior - Brasil (CAPES) - Finance Code 001. We extend our gratitude to Patrizia Vignolo for her insightful discussions. We are grateful to the late Dominique Delande, whose engaging conversations on the boomerang effect greatly motivated us. We thank the High-Performance Computing Center (NPAD) at UFRN for providing computational resources. T.M. acknowledges the hospitality of ITAMP-Harvard, where part of this work was done. This work was supported by the Serrapilheira Institute through Grant No. Serra-1812-27802. This study was financed in part by CNPq and the Coordena\u00E7\u00E3o de Aperfei\u00E7oamento de Pessoal de N\u00EDvel Superior - Brasil (CAPES) - Finance Code 001.
| Funders | Funder number |
|---|---|
| ITAMP-Harvard | |
| NPAD | |
| Center for High Performance Computing | |
| Conselho Nacional de Desenvolvimento Científico e Tecnológico | |
| Coordenação de Aperfeiçoamento de Pessoal de Nível Superior | |
| Instituto Serrapilheira | Serra-1812-27802 |