Parametrically excited starshaped patterns at the interface of binary BoseEinstein condensates
Abstract
A Faradaywavelike parametric instability is investigated via meanfield and Floquet analysis in immiscible binary BoseEinstein condensates. The condensates form a socalled ballshell structure in a twodimensional harmonic trap. To trigger the dynamics, the scattering length of the core condensate is periodically modulated in time. We reveal that in the dynamics the interface becomes unstable towards the formation of oscillating patterns. The interface oscillates subharmonically, exhibiting an m fold rotational symmetry that can be controlled by maneuvering the amplitude and the frequency of the modulation. Using Floquet analysis we are able to predict the generated interfacial tension of the mixture and derive a dispersion relation for the natural frequencies of the emergent patterns. A heteronuclear system composed of ^{87}Rb^{85}Rb atoms can be used for the experimental realization of the phenomenon, yet our results are independent of the specifics of the employed atomic species and of the parameters such as scattering lengths and trap strengths at which the driving is applied.
 Publication:

Physical Review A
 Pub Date:
 September 2020
 DOI:
 10.1103/PhysRevA.102.033320
 arXiv:
 arXiv:2005.00296
 Bibcode:
 2020PhRvA.102c3320M
 Keywords:

 Condensed Matter  Quantum Gases;
 Nonlinear Sciences  Pattern Formation and Solitons;
 Quantum Physics
 EPrint:
 12 pages, 6 figures