Vortex molecules in Bose-Einstein condensates

Abstract

Stable vortex dimers are known to exist in coherently coupled two component Bose-Einstein condensates (BECs). We construct stable vortex trimers in three component BECs and find that the shape can be controlled by changing the internal coherent (Rabi) couplings. Stable vortex N-omers are also constructed in coherently coupled N-component BECs. We classify all possible N-omers in terms of the mathematical graph theory. Next, we study effects of the Rabi coupling in vortex lattices in two-component BECs. We find how the vortex lattices without the Rabi coupling known before are connected to the Abrikosov lattice of integer vortices with increasing the Rabi coupling. In this process, vortex dimers change their partners in various ways at large couplings. We then find that the Abrikosov lattices are robust in three-component BECs.

12 pages, 9 figures, prepared for the conference proceedings of QFS2013 (International Symposium on Quantum Fluids and Solids)

References in corpus (13)

• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Field- and temperature induced topological phase transitions in the three-dimensional $N$-component London superconductor
• Vortex sheet in rotating two-component Bose-Einstein condensates
• 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
• Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate
• Energetic stability of coreless vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• 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
• Topological Excitations in Spinor Bose-Einstein Condensates

Cited by in corpus (16)

• Interactions and scattering of quantum vortices in a polariton fluid
• Confinement of Half-quantized Vortices in Coherently Coupled Bose-Einstein Condensates: Simulating Quark Confinement in QCD
• Non-Abelian Sine-Gordon Solitons
• Fractional Skyrmions and their molecules
• Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
• Skyrmionic vortex lattices in coherently coupled three-component 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
• Number-conserving approaches to $n$-component Bose-Einstein condensates
• Topological defects in mixtures of superconducting condensates with different charges
• Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Stabilizing semilocal strings by polarization
• ${\mathbb{Z}}_n$ modified XY and Goldstone models and vortex confinement transition
• Control of the vortex lattice formation in coupled atom-molecular Bose-Einstein condensate in a double well potential: Role of atom-molecule coupling, trap rotation frequency and detuning
• SM gauge fields localized on non-Abelian vortices in 6 dimensions