Interaction of half-quantized vortices in two-component Bose-Einstein condensates

Abstract

We study the asymptotic interaction between two half-quantized vortices in two-component Bose-Einstein condensates. When two vortices in different components are placed at distance 2R, the leading order of the force between them is found to be (log R/ξ-1/2)/R^3, in contrast to 1/R between vortices placed in the same component. We derive it analytically using the Abrikosov ansatz and the profile functions of the vortices, confirmed numerically with the Gross-Pitaevskii model. We also find that the short-range cutoff of the inter-vortex potential linearly depends on the healing length.

9 pages, 5 figures

References in corpus (29)

• Double species condensate with tunable interspecies interactions
• Coreless vortex formation in a spinor Bose-Einstein condensate
• Vortices in multicomponent Bose-Einstein condensates
• Vortex Lattice Dynamics in Rotating Spinor Bose-Einstein Condensates
• Vortex phase diagram in rotating two-component Bose-Einstein condensates
• Controlling phase separation of binary Bose-Einstein condensates via mixed-spin-channel Feshbach resonance
• Knots in a Spinor Bose-Einstein Condensate
• Energetically stable particle-like Skyrmions in a trapped Bose-Einstein condensate
• Semi-superfluid strings in High Density QCD
• Non-Abelian Strings in High Density QCD: Zero Modes and Interactions
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Collision Dynamics and Rung Formation of Non-Abelian Vortices
• Interface Tension of Bose-Einstein Condensates
• Instabilities of Non-Abelian Vortices in Dense QCD
• Color Magnetic Flux Tubes in Dense QCD
• Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory
• Stable particlelike solitons with multiply-quantized vortex lines in Bose-Einstein condensates
• Dirac monopoles and dipoles in ferromagnetic spinor Bose-Einstein condensates
• Non-Abelian Strings in Hot or Dense QCD
• Fermion structure of non-Abelian vortices in high density QCD
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Interactions of Non-Abelian Global Strings
• Analogues of D-branes in Bose-Einstein condensates
• Majorana meets Coxeter: Non-Abelian Majorana Fermions and Non-Abelian Statistics
• Topological Interactions of Non-Abelian Vortices with Quasi-Particles in High Density QCD
• Topological Excitations in Spinor Bose-Einstein Condensates
• Non-Abelian Global Vortices
• Non-Abelian Global Strings at Chiral Phase Transition
• Vortex Rings in two Component Bose-Einstein Condensates

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