Interaction of Vortices in Complex Vector Field and Stability of a ``Vortex Molecule''

Abstract

We consider interaction of vortices in the vector complex Ginzburg--Landau equation (CVGLE). In the limit of small field coupling, it is found analytically that the interaction between well-separated defects in two different fields is long-range, in contrast to interaction between defects in the same field which falls off exponentially. In a certain region of parameters of CVGLE, we find stable rotating bound states of two defects -- a ``vortex molecule".

4 pages, 5 figures, submitted to Phys. Rev. Lett

References in corpus (4)

• Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation
• Induced Coherence and Stable Soliton Spiraling
• The dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: instability, stretching, entanglement, and helices
• Kink Arrays and Solitary Structures in Optically Biased Phase Transition

Cited by in corpus (8)

• The World of the Complex Ginzburg-Landau Equation
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• Berezinskii-Kosterlitz-Thouless transition of two-component Bose mixtures with inter-component Josephson coupling
• Vortex lattices in three-component Bose-Einstein condensates under rotation: simulating colorful vortex lattices in a color superconductor
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Vortex polygons and their stabilities in Bose-Einstein condensates and field theory
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Dynamics of Defects in the Vector Complex Ginzburg-Landau Equation