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arXiv · 2403.14382

Space-time quasicrystals in Bose-Einstein condensates

L. Friedland·A. G Shagalov
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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.

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L. Friedland, A. G Shagalov. 2024-03-21. Space-time quasicrystals in Bose-Einstein condensates. https://doi.org/10.1103/physrevresearch.6.023054

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