Stability of a Bose condensed mixture on a bubble trap

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.

arXiv comment15 pages, 12 figures, 1 video

References in corpus (54)

• Many-Body Physics with Ultracold Gases
• Theory of Bose-Einstein condensation in trapped gases
• Feshbach Resonances in Ultracold Gases
• The physics of dipolar bosonic quantum gases
• The dynamics of component separation in a binary mixture of Bose-Einstein condensates
• Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Observing the Rosensweig instability of a quantum ferrofluid
• Self-bound quantum droplets in atomic mixtures
• Double species condensate with tunable interspecies interactions
• Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases
• Observation of Quantum Droplets in a Heteronuclear Bosonic Mixture
• A Mixture of Bose and Fermi Superfluids
• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases
• Structure of binary Bose-Einstein condensates
• Vortex phase diagram in rotating two-component Bose-Einstein condensates
• Stability of trapped Bose-Einstein condensates
• Observation of magnetically tunable Feshbach resonances in ultracold ${}^{23}$Na${}^{40}$K+${}^{40}$K collisions
• Dipolar Quantum Mixtures of Erbium and Dysprosium Atoms
• Atom trapping and two-dimensional Bose-Einstein condensates in field-induced adiabatic potentials
• Production of a dual-species Bose-Einstein condensate of Rb and Cs atoms
• Bose-Einstein Condensation on the Surface of a Sphere
• Finite temperature vortex dynamics in Bose Einstein condensates
• Ferrofluidity in a two-component dipolar Bose-Einstein Condensate
• Observation of a Lee-Huang-Yang Fluid
• Droplet formation in a Bose-Einstein condensate with strong dipole-dipole interaction
• Controlling phase separation of a two-component Bose-Einstein condensate by confinement
• Quantum Bubbles in Microgravity
• Vortex-antivortex physics in shell-shaped Bose-Einstein condensates
• Crystallisation of a dilute atomic dipolar condensate
• A dual-species Bose-Einstein condensate with attractive interspecies interactions
• Stability and Excitations of a Dipolar Bose-Einstein Condensate with a Vortex
• A two-species five-beam magneto-optical trap for highly magnetic Er and Dy atoms
• Liquid-Gas phase transition in Bose-Einstein Condensates with time evolution
• Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions
• Feshbach resonances in $p$-wave three-body recombination within Fermi-Fermi mixtures of open-shell ${}^6$Li and closed-shell ${}^{173}$Yb atoms
• Mixed bubbles in Bose-Bose mixtures
• Bose-Einstein condensation in spherically symmetric traps
• Ground state of weakly repulsive soft-core bosons on a sphere
• Miscibility in coupled dipolar and non-dipolar Bose-Einstein condensates
• The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer
• Ground state and collective excitations of a dipolar Bose-Einstein condensate in a bubble trap
• Spatial separation of rotating binary Bose-Einstein condensate by tuning the dipolar interactions
• Dynamics of phase separation in two species Bose-Einstein condensates with vortices
• Counter-rotating vortices in miscible two-component Bose-Einstein condensates
• Miscibility and stability of dipolar bosonic mixtures
• Immiscible and miscible states in binary condensates in the ring geometry
• Orbital angular momentum dynamics of Bose-Einstein condensates trapped in two stacked rings
• Relation between the eigenfrequencies of Bogoliubov excitations of Bose-Einstein condensates and the eigenvalues of the Jacobian in a time-dependent variational approach
• Vortex patterns in rotating dipolar Bose-Einstein condensate mixtures with squared optical lattices
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na
• Mass-imbalanced Bose-Einstein condensed mixtures in rotating perturbed trap
• Torquing the Condensate: Angular Momentum Transport in Bose-Einstein Condensates by Solitonic "Corkscrew"

Cited by in corpus (14)

• Observation of ultracold atomic bubbles in orbital microgravity
• Low-dimensional quantum gases in curved geometries
• Perspective on Quantum Bubbles in Microgravity
• Shell-shaped atomic gases
• BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap
• Rossby-Haurwitz wave in a rotating bubble-shaped Bose-Einstein condensate
• Faraday waves on a bubble Bose-Einstein condensed binary mixture
• Two-component repulsive atomic Fermi gases in a thin spherical shell
• Fragmentation of a trapped multiple-species bosonic mixture
• Expansion dynamics of a cylindrical-shell-shaped strongly dipolar condensate
• Two-component atomic Fermi superfluid with spin-orbital coupling in thin spherical-shell geometry
• Geometric potential for a Bose-Einstein condensate on a curved surface
• Fragmentation of identical and distinguishable bosons' pairs and natural geminals of a trapped bosonic mixture
• Stability of dark solitons in a bubble Bose-Einstein condensate