Vortex bending and tightly packed vortex lattices in Bose-Einstein condensates

Abstract

We study in detail the counterintuitive result that in elongated rotating Bose--Einstein condensates the ground state is composed of one or more vortex lines which bend even in completely symmetric setups. This symmetry breaking allows the condensate to smoothly adapt to rotation and to produce tightly packed arrays of vortex lines.

4 pages, 4 eps pictures

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Cited by in corpus (50)

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• Dynamical Instability of a Doubly Quantized Vortex in a Bose-Einstein condensate
• Nonlinear dynamics for vortex lattice formation in a rotating Bose-Einstein condensate
• Nonequilibrium effects of anisotropic compression applied to vortex lattices in Bose-Einstein condensates
• Dynamics of a single vortex line in a Bose-Einstein condensate
• Vortices in self-bound dipolar droplets
• Quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction
• Three-dimensional vortex configurations in a rotating Bose Einstein condensate
• Dynamics and interaction of vortex lines in an elongated Bose-Einstein condensate
• Three-vortex configurations in trapped Bose-Einstein condensates
• A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates
• Kelvin mode of a vortex in a nonuniform Bose-Einstein condensate
• Three-dimensional dynamics of vortex lattice formation in Bose-Einstein condensates
• Probing the classical field approximation - thermodynamics and decaying vortices
• Stable Fractional Vortices in the Cyclic States of Bose-Einstein Condensates
• A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation
• Split-merge cycle, fragmented collapse, and vortex disintegration in rotating Bose-Einstein condensates with attractive interactions
• On the shape of vortices for a rotating Bose Einstein condensate
• Scattering and leapfrogging of vortex rings in a superfluid
• Surface modes and vortex formation in dilute Bose-Einstein condensates at finite temperatures
• Vortex dynamics of rotating dipolar Bose-Einstein condensates
• Single vortex states in a confined Bose-Einstein condensate
• Three-dimensional vortex structures in a rotating dipolar Bose-Einstein condensate
• Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
• Three-dimensional numerical simulation of long-lived quantum vortex knots and links in a trapped Bose-Einstein condensate
• Perturbative behaviour of a vortex in a trapped Bose-Einstein condensate
• Vibrations of a Columnar Vortex in a Trapped Bose-Einstein Condensate
• The dynamics of straight vortex filaments in a Bose-Einstein condensate with a Gaussian density profile
• Observation of a Spinning Top in a Bose-Einstein Condensate
• Dynamics of a single vortex line in a condensate
• Asymmetric matter-wave solitons at nonlinear interfaces
• Effect of optical lattice potentials on the vortices in rotating dipolar Bose-Einstein condensates
• Subsurface bending and reorientation of tilted vortex lattices in the bulk due to Coulomb-like repulsion at the surface
• Bound solitonic states in trapped multidimensional Bose-Einstein condensates
• Parametric instability of oscillations of a vortex ring in a $z$-periodic Bose-Einstein condensate and the recurrence to starting state
• Nonlinearity and Topology
• Hamilton's equations of motion of a vortex filament in the rotating Bose-Einstein condensate and their "soliton" solutions
• Discrete vortices on spatially nonuniform two-dimensional electric networks
• Optical visibility and core structure of vortex filaments in a bosonic superfluid
• Stable and unstable vortex knots in a trapped Bose-Einstein condensate
• Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
• Crow instability in unitary Fermi gas
• Numerical method for the projected Gross--Pitaevskii equation in an infinite rotating 2D Bose gas
• Vortices in Bose-Einstein Condensates: Theory
• Quantum effects in the evolution of vortices in the electromagnetic field
• Cranked Hartree-Fock-Bogoliubov Calculation for Rotating Bose-Einstein Condensates
• Structure of excited vortices with higher angular momentum in Bose-Einstein condensates
• Discrete Vortices in Systems of Coupled Nonlinear Oscillators: Numerical Results for an Electric Model
• Discrete Vortex Filaments on Arrays of Coupled Oscillators in the Nonlinear Resonant Mode
• Tackling the Gross-Pitaevskii energy functional with the Sobolev gradient - Analytical and numerical results