Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions

Kumar, Ramavarmaraja Kishor; Tomio, Lauro; Malomed, Boris A.; Gammal, A.

doi:10.1103/physreva.96.063624

“…On the miscibility conditions for binary trapped dipolar systems, more details and discussion can be found in Refs. [10][11][12]. Large values for λ allow us to reduce to 2D the original 3D formalism by considering the usual factorization of the 3D wave function as ψ i (x, y, τ)χ i (z), where χ i (z) ≡ (λ/π) 1/4 e −λz 2 /2 .…”

Section: A Model Formalismmentioning

confidence: 99%

Dipolar condensed atomic mixtures and miscibility under rotation

Tomio

¹

,

Kumar

²

,

Gammal

³

2020

SciPost Phys. Proc.

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By considering symmetric and asymmetric dipolar coupled mixtures (with dysprosium and erbium isotopes), we report a study on relevant anisotropic effects, related to spatial separation and miscibility, due to dipole-dipole interactions (DDIs) in rotating binary dipolar Bose-Einstein condensates. The binary mixtures are kept in strong pancake-like traps, with repulsive two-body interactions modeled by an effective two-dimensional (2D) coupled Gross-Pitaevskii equation. The DDI are tuned from repulsive to attractive by varying the dipole polarization angle. A clear spatial separation is verified in the densities for attractive DDIs, being angular for symmetric mixtures and radial for asymmetric ones. Also relevant is the mass-imbalance sensibility observed by the vortex-patterns in symmetric and asymmetric-dipolar mixtures. In an extension of this study, here we show how the rotational properties and spatial separation of these dipolar mixture are affected by a quartic term added to the harmonic trap of one of the components.

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“…On the miscibility conditions for binary trapped dipolar systems, more details and discussion can be found in Refs. [10][11][12]. Large values for λ allow us to reduce to 2D the original 3D formalism by considering the usual factorization of the 3D wave…”

Section: Model Formalism Parametrization and Numerical Approach 21 mentioning

confidence: 99%

Report on scipost_201911_00021v1

2019

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By considering symmetric and asymmetric dipolar coupled mixtures (with dysprosium and erbium isotopes), we report a study on relevant anisotropic effects, related to spatial separation and miscibility, due to dipole-dipole interactions (DDIs) in rotating binary dipolar Bose-Einstein condensates. The binary mixtures are kept in strong pancake-like traps, with repulsive two-body interactions modeled by an effective two-dimensional (2D) coupled Gross-Pitaevskii equation. The DDI are tuned from repulsive to attractive by varying the dipole polarization angle. A clear spatial separation is verified in the densities for attractive DDIs, being angular for symmetric mixtures and radial for asymmetric ones. Also relevant is the mass-imbalance sensibility observed by the vortexpatterns in symmetric and asymmetric-dipolar mixtures. In an extension of this study, here we show how the rotational properties and spatial separation of these dipolar mixture are affected by a quartic term added to the harmonic trap of one of the components. Contents 1 Dipolar Bose-Einstein condensate-Introduction 2 2 Model formalism, parametrization and numerical approach 3 2.1 Model formalism 3 2.2 Parametrization and numerical approach 4 3 Symmetric and asymmetric dipolar mixtures-Results 4 3.1 Dipolar mixtures confined by identical harmonic pancake-like traps 4 3.2 Dipolar symmetric 164 Dy-162 Dy mixture, with a quartic trap applied to 164 Dy 5 3.3 Dipolar asymmetric 168 Er-164 Dy mixture, with a quartic trap applied to 168 Er 6

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“…[40], by solving cubic-quintic Gross-Pitaevskii (GP) formalism [41,42], where it was pointed out the significant role of three-body interaction in the droplet formations. Later on, the miscibility properties of twocomponent BECs were investigated in a few works by some of us [43][44][45], using two different dipolar and nondipolar hyperfine spin states of a single isotope. These studies were followed by considering mass-imbalance and rotating effects with different isotopes or atomic species in Ref.…”

Section: Introductionmentioning

confidence: 99%

Stability of a Bose condensed mixture on a bubble trap

Andriati,

Brito,

Tomio

et al. 2021

Preprint

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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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Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions

Cited by 45 publications

References 63 publications

Dipolar condensed atomic mixtures and miscibility under rotation

Dipolar condensed atomic mixtures and miscibility under rotation

Report on scipost_201911_00021v1

Stability of a Bose condensed mixture on a bubble trap

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