Space-time quasicrystals in Bose-Einstein condensates
arXiv:2403.14382 · doi:10.1103/PhysRevResearch.6.023054
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.
References in corpus (9)
- Theory of Bose-Einstein condensation in trapped gases
- Observation of time quasicrystal and its transition to superfluid time crystal
- Nanometer-scale spatial modulation of an inter-atomic interaction in a Bose-Einstein condensate
- Discrete Time Quasi-Crystals
- Time crystals in a shaken atom-cavity system
- Tunable space-time crystal in room-temperature magnetodielectrics
- Parametric resonance of a Bose-Einstein condensate in a ring trap with periodically driven interactions
- Controlled creation of three-dimensional vortex structures in Bose--Einstein condensates using artificial magnetic fields
- Multiphase nonlinear electron plasma waves