Stability of a Bose condensed mixture on a bubble trap

Alex Andriati; Leonardo Brito; Lauro Tomio; Arnaldo Gammal

doi:10.1103/physreva.104.033318

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arXiv · 2107.04130

Stability of a Bose condensed mixture on a bubble trap

Alex Andriati·Leonardo Brito·Lauro Tomio·Arnaldo Gammal

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Abstract

Stability and dynamical behavior of binary Bose-Einstein condensed mixtures trapped on the surface of a rigid spherical shell are investigated in the mean-field level, exploring the miscibility with and without vortex charges, considering repulsive and attractive interactions. In order to compute the critical points for the stability, we follow the Bogoliubov-de Gennes method for the analysis of perturbed solutions, with the constraint that initially the stationary states are in a complete miscible configuration. For the perturbed equal density mixture, of a homogeneous uniform gas and when hidden vorticity is verified, with the species having opposite azimuthal circulation, we consider small perturbation analysis for each unstable mode, providing a complete diagram with the intra- and inter-species interaction role on the stability of the miscible system. Finally, beyond small perturbation analysis, we explore the dynamics of some repulsive and attractive inter-species states by full numerical solutions of the time-dependent Gross-Pitaevskii equation.

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Alex Andriati, Leonardo Brito, Lauro Tomio, Arnaldo Gammal. 2021-09-20. Stability of a Bose condensed mixture on a bubble trap. https://doi.org/10.1103/physreva.104.033318

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