Vortex patterns in rotating dipolar Bose-Einstein condensate mixtures with squared optical lattices

Abstract

Vortex lattice patterns with transitions from regular to other variety vortex shapes are predicted in rotating binary mixtures of dipolar Bose-Einstein condensates loaded in squared optical lattice. We focus our investigation in the experimentally accessible dipolar isotopes of dysprosium (${}^{162,164}$Dy), erbium (${}^{168}$Er), chromium (${}^{52}$Cr), and rubidium (${}^{87}$Rb), by considering the binary mixtures (${}^{164}$Dy-${}^{162}$Dy, ${}^{168}$Er-${}^{164}$Dy, ${}^{164}$Dy-${}^{52}$Cr and ${}^{164}$Dy-${}^{87}$Rb), which are confined in strong pancake-shaped trap and loaded in squared two-dimensional optical lattices, where we vary the polarization angle of dipoles, the inter-species contact interactions and the rotation frequency. The ratio between inter- to intra-species contact interaction is used for altering the miscibility properties; with the polarization of the dipolar species used for tuning to repulsive or attractive the dipole-dipole interactions. For enough higher rotation, of particular interest is the regime when the inter- to intra-species scattering length is larger than one, in which a richer variety of vortex-lattice patterns are predicted, including vortex sheets and two-dimensional rotating droplet formations. The patterns can be controlled by changing the optical lattice parameters, as shown for the symmetric ${}^{164}$Dy-${}^{162}$Dy dipolar mixture. For mixtures with stronger differences in the dipole moments, as ${}^{164}$Dy-${}^{52}$Cr and ${}^{164}$Dy-${}^{87}$Rb, only half quantum vortices and circular ones have been observed, which will depend on the dipole orientations.

arXiv comment13 figures, 26 pages

References in corpus (47)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The physics of dipolar bosonic quantum gases
• A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• Observation of quantum droplets in a strongly dipolar Bose gas
• Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
• Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
• Condensed Matter Theory of Dipolar Quantum Gases
• Self-bound droplets of a dilute magnetic quantum liquid
• Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
• Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Tuning the dipolar interaction in quantum gases
• Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases
• Correlations and Counting Statistics of an Atom Laser
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Observation of Roton Mode Population in a Dipolar Quantum Gas
• Vortices in multicomponent Bose-Einstein condensates
• Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases
• Vortex phase diagram in rotating two-component Bose-Einstein condensates
• C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Dipolar Quantum Mixtures of Erbium and Dysprosium Atoms
• Anisotropic superfluidity in a dipolar Bose gas
• Critical number of atoms for attractive Bose-Einstein condensates with cylindrically symmetrical traps
• Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap
• Novel vortex structures in dipolar condensates
• Observation of vortex nucleation in a rotating two-dimensional lattice of Bose-Einstein condensates
• Structural phase transitions of vortex matter in an optical lattice
• Scissors mode of dipolar quantum droplets of dysprosium atoms
• Vortices in quantum droplets: Analogies between boson and fermion systems
• Pinning of vortices in a Bose-Einstein condensate by an optical lattice
• Dipolar Stabilization of an Attractive Bose Gas in a One Dimensional Lattice
• Roton immiscibility in a two-component dipolar Bose gas
• Tuning the dipole-dipole interaction in a quantum gas with a rotating magnetic field
• Controlling phase separation of a two-component Bose-Einstein condensate by confinement
• Critical numbers of attractive Bose-condensed atoms in asymmetric traps
• A two-species five-beam magneto-optical trap for highly magnetic Er and Dy atoms
• Equilibrium solutions of immiscible two-species Bose-Einstein condensates in perturbed harmonic traps
• Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions
• Solitons and solitary vortices in "pancake"-shaped Bose-Einstein condensates
• Dynamical vortex phases in a Bose-Einstein condensate driven by a rotating optical lattice
• Vortices and vortex lattices in quantum ferrofluids
• Pinning and collective modes of a vortex lattice in a Bose-Einstein condensate
• Fingering instabilities and pattern formation in a two-component dipolar Bose-Einstein condensate
• Rotational properties of dipolar Bose-Einstein condensates confined in anisotropic harmonic potentials
• Confinement-induced collapse of a dipolar Bose-Einstein condensate
• Effect of optical lattice potentials on the vortices in rotating dipolar Bose-Einstein condensates

Cited by in corpus (7)

• Study of the inter-species interactions in an ultracold dipolar mixture
• Vortices in dipolar Bose-Einstein condensates
• Spatial separation of rotating binary Bose-Einstein condensate by tuning the dipolar interactions
• Stability of a Bose condensed mixture on a bubble trap
• Vortex generation in stirred binary Bose-Einstein condensates
• Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases
• Rayleigh-Taylor, Kelvin-Helmholtz and immiscible to miscible quenching instabilities in binary Bose-Einstein condensates