Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates

Abstract

A Faraday-wave-like parametric instability is investigated via mean-field and Floquet analysis in immiscible binary Bose-Einstein condensates. The condensates form a so-called \textit{ball-shell} structure in a two-dimensional 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 sub-harmonically 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 parameter at which the driving is applied.

12 pages, 6 figures

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Cited by in corpus (28)

• Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension
• Spontaneous Formation of Star-Shaped Surface Patterns in a Driven Bose-Einstein Condensate
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Two-dimensional miscible-immiscible supersolid and droplet crystal state in a homonuclear dipolar bosonic mixture
• Vortex formation and quantum turbulence with rotating paddle potentials in a two-dimensional binary Bose-Einstein condensate
• Bubbles with attached quantum vortices in trapped binary Bose-Einstein condensates
• Interface properties in three-component Bose-Einstein condensates
• Rayleigh-Taylor instability in a phase-separated three-component Bose-Einstein condensate
• Pattern formation of correlated impurities subjected to an impurity-medium interaction pulse
• Stability and dynamics across magnetic phases of vortex-bright type excitations in spinor Bose-Einstein condensates
• Stable-fixed-point description of square-pattern formation in driven two-dimensional Bose-Einstein condensates
• Miscibility regimes in a ${}^{23}$Na-${}^{39}$K quantum mixture
• Capillary Flotation in a System of Two Immiscible Bose-Einstein Condensates
• "Capillary'' structures in transversely trapped nonlinear optical beams
• Faraday waves on a bubble Bose-Einstein condensed binary mixture
• Faraday Waves in Bose-Einstein Condensates -- The Excitation by the Modulation of the Interaction and the Potential
• Pauli crystal melting in shaken optical traps
• Systems of vortices in a binary core-shell Bose-Einstein condensate
• The bulk modulus of three-dimensional quantum droplets
• Structure and dynamics of binary Bose-Einstein condensates with vortex phase imprinting
• Nonuniformly Filled Vortex Rings in Nonlinear Optics
• Spatial and Temporal Periodic Density Patterns in Driven Bose-Einstein Condensates
• An Optical Analog for a Rotating Binary Bose-Einstein Condensate
• Three-component Bose-Einstein condensates and wetting without walls
• Faraday Waves in strongly interacting superfluids
• Direct and reverse precession of a massive vortex in a binary Bose--Einstein condensate
• Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall
• Pattern Formation and Evidence of Quantum Turbulence in Binary Bose-Einstein Condensates Interacting with a Pair of Laguerre-Gaussian Laser Beams