Vortex polygons and their stabilities in Bose-Einstein condensates and field theory

Abstract

We study vortex polygons and their stabilities in miscible two-component Bose-Einstein condensates, and find that vortex polygons are stable for the total circulation $Q\le 5$, metastable for $Q=6$, and unstable for $Q\ge 7$. As a related model in high-energy physics, we also study the vortex polygon of the baby-Skyrme model with an anti-ferromagnetic potential term, and compare both results.

7 pages, 2 figures

References in corpus (7)

• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Field- and temperature induced topological phase transitions in the three-dimensional $N$-component London superconductor
• Crossover between integer and fractional vortex lattices in coherently coupled two-component Bose-Einstein condensates
• Deconfinement of Vortices with Continuously Variable Fractions of the Unit Flux Quanta in Two-Gap Superconductors
• Violation of the London Law and Onsager-Feynman quantization in multicomponent superconductors
• Vortex lattices in three-component Bose-Einstein condensates under rotation: simulating colorful vortex lattices in a color superconductor
• Vortex graphs as N-omers and CP(N-1) Skyrmions in N-component Bose-Einstein condensates

Cited by in corpus (14)

• Domain wall Skyrmions
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Relations among topological solitons
• Fractional Skyrmions and their molecules
• Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Baby Skyrmion crystals
• Topological defects in mixtures of superconducting condensates with different charges
• Fluctuation effects in rotating Bose-Einstein condensates with broken $\mathrm{SU}(2)$ and $\mathrm{U}(1)\times \mathrm{U}(1)$ symmetries in the presence of intercomponent density-density interactions
• Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential
• Magnetic Hopfions in the Faddeev-Skyrme-Maxwell model
• Stabilizing semilocal strings by polarization