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Vibrational mechanics in higher dimension: Tuning potential landscapes

Cubero, D; Renzoni, F; (2021) Vibrational mechanics in higher dimension: Tuning potential landscapes. Physical Review E , 103 (3) , Article 032203. 10.1103/PhysRevE.103.032203. Green open access

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Abstract

This work extends the domain of vibrational mechanics to higher dimensions, with fast vibrations applied to different directions. In particular, the presented analysis considers the case of a split biharmonic drive, where harmonics of frequency ω and 2ω are applied to orthogonal directions in a two-dimensional setting. It is shown, both numerically and with analytic calculations, that this determines a highly tunable effective potential with the same symmetry as the original one. The driving allows one not only to tune the amplitude of the potential, but also to introduce an arbitrary spatial translation in the direction corresponding to the 2ω driving. The setup allows for generalization to implement translations in an arbitrary direction within the two-dimensional landscapes. The same principles also apply to three-dimensional periodic potentials.

Type: Article
Title: Vibrational mechanics in higher dimension: Tuning potential landscapes
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.103.032203
Publisher version: https://doi.org/10.1103/PhysRevE.103.032203
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/10126238
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