Faraday waves on a bubble Bose-Einstein condensed binary mixture

Abstract

By studying the dynamic stability of Bose-Einstein condensed binary mixtures trapped on the surface of an ideal two-dimensional spherical bubble, we show how the Rabi coupling between the species can modulate the interactions leading to parametric resonances. In this spherical geometry, the discrete unstable angular modes drive both phase separations and spatial patterns, with Faraday waves emerging and coexisting with an immiscible phase. Noticeable is the fact that, in the context of discrete kinetic energy spectrum, the only parameters to drive the emergence of Faraday waves are the $s-wave$ contact interactions and the Rabi coupling. Once analytical solutions for population dynamics are obtained, the stability of homogeneous miscible species is investigated through Bogoliubov-de Gennes and Floquet methods, with predictions being analysed by full numerical solutions applied to the corresponding time-dependent coupled formalism.

17 pages, 15 figures

References in corpus (5)

• Atom trapping and two-dimensional Bose-Einstein condensates in field-induced adiabatic potentials
• Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates
• Ground state of weakly repulsive soft-core bosons on a sphere
• Stability of a Bose condensed mixture on a bubble trap
• Faraday and resonant waves in binary collisionally-inhomogeneous Bose-Einstein condensates

Cited by in corpus (5)

• Spatial and Temporal Periodic Density Patterns in Driven Bose-Einstein Condensates
• Bose-Einstein condensation in exotic lattice geometries
• Expansion dynamics of a cylindrical-shell-shaped strongly dipolar condensate
• Stability of dark solitons in a bubble Bose-Einstein condensate
• Geometric potential for a Bose-Einstein condensate on a curved surface