Space-time quasicrystals in Bose-Einstein condensates
Pattern Formation and Solitons
2024-05-28 v1 Atomic Physics
Abstract
An autoresonant approach for exciting space-time quasicrystals in Bose-Einstein condensates is proposed by employing two-component chirped frequency parametric driving or modulation of the interaction strength within Gross-Pitaevskii equation. A weakly nonlinear theory of the process is developed using Whitham's averaged variational principle yielding reduction to a two-degrees-of-freedom dynamical system in action-angle variables. Additionally, the theory also delineates permissible driving parameters and establishes thresholds on the driving amplitudes required for autoresonant excitation.
Cite
@article{arxiv.2403.14382,
title = {Space-time quasicrystals in Bose-Einstein condensates},
author = {L. Friedland and A. G Shagalov},
journal= {arXiv preprint arXiv:2403.14382},
year = {2024}
}