Static interfacial properties of Bose-Einstein condensate mixtures

Abstract

Interfacial profiles and interfacial tensions of phase-separated binary mixtures of Bose-Einstein condensates are studied theoretically. The two condensates are characterized by their respective healing lengths ${\xi }_1$ and ${\xi }_2$ and by the inter-species repulsive interaction $K$. An exact solution to the Gross-Pitaevskii (GP) equations is obtained for the special case ${\xi }_2/{\xi }_1=1/2$ and $K=3/2$. Furthermore, applying a double-parabola approximation (DPA) to the energy density featured in GP theory allows us to define a DPA model, which is much simpler to handle than GP theory but nevertheless still captures the main physics. In particular, a compact analytic expression for the interfacial tension is derived that is useful for all ${\xi }_1,{\xi }_2$ and $K$. An application to wetting phenomena is presented for condensates adsorbed at an optical wall. The wetting phase boundary obtained within the DPA model nearly coincides with the exact one in GP theory.

arXiv comment24 pages, 6 figures

References in corpus (39)

• Vortices in a Bose-Einstein Condensate
• The dynamics of component separation in a binary mixture of Bose-Einstein condensates
• Phase separation of Bose-Einstein condensates
• Double species condensate with tunable interspecies interactions
• A two atomic species superfluid
• Observation of metastable states in spinor Bose-Einstein condensates
• Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases
• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• Structure of binary Bose-Einstein condensates
• Controlling phase separation of binary Bose-Einstein condensates via mixed-spin-channel Feshbach resonance
• Quantum tunneling across spin domains in a Bose-Einstein condensate
• Observation of interspecies Feshbach resonances in an ultracold Rb-Cs mixture
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Interface Tension of Bose-Einstein Condensates
• Boundary of two mixed Bose-Einstein condensates
• Controlling phase separation of a two-component Bose-Einstein condensate by confinement
• Rayleigh-Taylor instability of binary condensates
• Phase Separation and Dynamics of Two-component Bose-Einstein Condensates
• Symmetry breaking Rayleigh-Taylor instability in a two-component Bose-Einstein condensate
• Capillary instability in a two-component Bose-Einstein condensate
• Equilibrium solutions of immiscible two-species Bose-Einstein condensates in perturbed harmonic traps
• Normal modes and stability of phase separated trapped Bose-Einstein condensates
• Dynamical pattern formation during growth of a dual-species Bose-Einstein condensate
• Spinor condensates and light scattering from Bose-Einstein condensates
• Symmetric-Asymmetric transition in mixtures of Bose-Einstein condensates
• Waves on an interface between two phase-separated Bose-Einstein condensates
• Magnetic Richtmyer-Meshkov instability in a two-component Bose-Einstein condensate
• Spatial separation in a thermal mixture of ultracold ${}^{174}$Yb and ${}^{87}$Rb atoms
• Rb-85 tunable-interaction Bose-Einstein condensate machine
• Ground State Geometry of Binary Condensates in Axisymmetric Traps
• Goldstone modes and bifurcations in phase-separated binary condensates at finite temperature
• Interface dynamics of a two-component Bose-Einstein condensate driven by an external force
• Dynamics of bubbles in a two-component Bose-Einstein condensate
• Nambu-Goldstone modes in segregated Bose-Einstein condensates
• Critical wetting, first-order wetting and prewetting phase transitions in binary mixtures of Bose-Einstein condensates
• Weakly Interacting Bose Mixtures at Finite Temperature
• Dispersion relation and excitation character of a two-component Bose-Einstein condensate
• Extraordinary wetting phase diagram for mixtures of Bose-Einstein condensates
• Domain wall suppression in trapped mixtures of Bose-Einstein condensates

Cited by in corpus (19)

• Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates
• Pattern formation of quantum Kelvin-Helmholtz instability in binary superfluids
• Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates
• Casimir force of two-component Bose-Einstein condensates confined by a parallel plate geometry
• Capillary wave dynamics and interface structure modulation in binary Bose-Einstein condensate mixtures
• Spin-Current Instability at a Magnetic Domain Wall in a Ferromagnetic Superfluid: a Generation Mechanism of Eccentric Fractional Skyrmions
• Interface properties in three-component Bose-Einstein condensates
• Rayleigh-Taylor instability in a phase-separated three-component Bose-Einstein condensate
• Interfacial tension and wall energy of a Bose-Einstein condensate binary mixture: triple-parabola approximation
• Two types of phase diagrams for two-species Bose-Einstein condensates
• Analytical solutions of the coupled Gross-Pitaevskii equations for the three-species Bose-Einstein condensates
• On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall
• Phase separation in a mixture of trapped charged Bose-Einstein condensates
• Three-component Bose-Einstein condensates and wetting without walls
• Evaluation of the particle numbers via the two root mean square radii in a 2-species Bose-Einstein condensate
• The forces on a single interacting Bose-Einstein condensate
• Density of condensate of a dilute Bose gas in improved Hartree-Fock approximation
• Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall
• Dynamic scaling of vorticity in phase-separating superfluid mixtures