Splitting of a doubly quantized vortex through intertwining in Bose-Einstein condensates

Abstract

The stability of doubly quantized vortices in dilute Bose-Einstein condensates of 23Na is examined at zero temperature. The eigenmode spectrum of the Bogoliubov equations for a harmonically trapped cigar-shaped condensate is computed and it is found that the doubly quantized vortex is spectrally unstable towards dissection into two singly quantized vortices. By numerically solving the full three-dimensional time-dependent Gross-Pitaevskii equation, it is found that the two singly quantized vortices intertwine before decaying. This work provides an interpretation of recent experiments [A. E. Leanhardt et al. Phys. Rev. Lett. 89, 190403 (2002)].

4 pages, 3 figures (to be published in PRA)

References in corpus (13)

• Vortices in a Bose-Einstein Condensate
• Topological vortex formation in a Bose-Einstein condensate
• Vortex lattice formation in a rotating Bose-Einstein condensate
• Vortex nucleation in Bose-Einstein condensates in an oblate, purely magnetic potential
• Phenomenological damping in trapped atomic Bose-Einstein condensates
• Bose-Einstein condensates with vortices in rotating traps
• Creation of persistent current and vortex in a Bose-Einstein condensate of alkali-metal atoms
• Coherent disintegration and stability of vortices in trapped Bose condensate
• Dynamics of a single vortex line in a Bose-Einstein condensate
• Multiply quantized vortices in trapped Bose-Einstein condensates
• A simple method to create a vortex in Bose-Einstein condensate of alkali atoms
• Rotational Dynamics of Vortices in Confined Bose-Einstein Condensates
• A novel method to create a vortex in a Bose-Einstein condensate

Cited by in corpus (58)

• Spinor Bose-Einstein condensates
• Persistent currents and quantised vortices in a polariton superfluid
• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• Vortices in multicomponent Bose-Einstein condensates
• Dynamical Instability of a Doubly Quantized Vortex in a Bose-Einstein condensate
• Splitting Instability of a Multiply Charged Vortex in a Bose-Einstein Condensate
• Vortices in quantum droplets: Analogies between boson and fermion systems
• Vortices in Bose-Einstein Condensates: Some Recent Developments
• Faraday Patterns in low-dimensional Bose-Einstein Condensates
• Splitting times of doubly quantized vortices in dilute Bose-Einstein condensates
• Dynamics of Vortex Formation in Merging Bose-Einstein Condensate Fragments
• Dynamical evolution of a doubly-quantized vortex imprinted in a Bose-Einstein Condensate
• Hydrodynamic Description of Spin-1 Bose-Einstein Condensates
• Dynamically stable multiply quantized vortices in dilute Bose-Einstein condensates
• Vortex pump for dilute Bose-Einstein condensates
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
• Dynamical stability of a doubly quantized vortex in a three-dimensional condensate
• Ergoregion instabilities in rotating two-dimensional Bose--Einstein condensates: new perspectives on the stability of quantized vortices
• Vinen turbulence via the decay of multicharged vortices in trapped atomic Bose-Einstein condensates
• Splitting dynamics of giant vortices in dilute Bose-Einstein condensates
• Splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates
• Split-merge cycle, fragmented collapse, and vortex disintegration in rotating Bose-Einstein condensates with attractive interactions
• Stability and dynamics of matter-wave vortices in the presence of collisional inhomogeneities and dissipative perturbations
• Core sizes and dynamical instabilities of giant vortices in dilute Bose-Einstein condensates
• Instability crossover of helical shear flow in segregated Bose-Einstein condensates
• Stability of the solutions of the Gross-Pitaevskii equation
• Counter-rotating vortices in miscible two-component Bose-Einstein condensates
• Experimental realization of a Dirac monopole through the decay of an isolated monopole
• Thermally induced instability of a doubly quantized vortex in a Bose-Einstein condensate
• Vortex splitting and phase separating instabilities of coreless vortices in F=1 spinor Bose-Einstein condensates
• Stabilization and pumping of giant vortices in dilute Bose-Einstein condensates
• Spin textures in condensates with large dipole moments
• Is a doubly quantized vortex dynamically unstable in uniform superfluids?
• Flat-floor bubbles, dark solitons, and vortices stabilized by inhomogeneous nonlinear media
• Three-dimensional splitting dynamics of giant vortices in Bose-Einstein condensates
• Stability of Quantized Vortices in a Bose-Einstein Condensate Confined in an Optical Lattice
• Stability of coreless vortices in ferromagnetic spinor Bose-Einstein condensates
• Quantum Field Theoretical Description of Unstable Behavior of Trapped Bose-Einstein Condensates with Complex Eigenvalues of Bogoliubov-de Gennes Equations
• Quantum turbulence in Bose-Einstein condensates: present status and new challenges ahead
• Splitting of doubly quantized vortices in holographic superfluid of finite temperature
• Twisted unwinding of multi-charged quantum vortex and generation of turbulence in atomic Bose-Einstein condensates
• Propagating wave-packets and quantised currents in coherently driven polariton superfluids
• Effective field theory of Bose-Einstein condensation of $\alpha$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}$C
• Continuous vortex pumping into a spinor condensate with magnetic fields
• Helical spin textures in dipolar Bose-Einstein condensates
• Fast control of topological vortex formation in BEC by counter-diabatic driving
• Free expansion of Bose-Einstein condensates with a multicharged vortex
• Stability and dynamics across magnetic phases of vortex-bright type excitations in spinor Bose-Einstein condensates
• Vortex pump for Bose-Einstein condensates utilizing a time-averaged orbiting potential trap
• Condition for the Existence of Complex Modes in a Trapped Bose--Einstein Condensate with a Highly Quantized Vortex
• Perturbations of vortex ring pairs
• Vortices in polariton OPO superfluids
• Vortices in Bose-Einstein Condensates: Theory
• Kelvin wave in miscible two-component Bose-Einstein condensates
• Quantum Field Theoretical Analysis on Unstable Behavior of Bose-Einstein Condensates in Optical Lattices
• Vortex nucleations in spinor Bose condensates under localized synthetic magnetic fields
• A topological realization of spin polarization through vortex formation in collisions of Bose-Einstein condensates
• Stability change of a multi-charged vortex due to coupling with quadrupole mode