Three-dimensional growth of quantized vortices in rotating superfluid

This work studies numerically three-dimensional growth of small quantized vortices from the vessel boundary in rotating superfluid.     

Fermion zero modes in symmetric vortices in superfluid He

Fermions localized within vortex cores are considered for the simplest most symmetric vortices in the superfluid phases of ³He. Axisymmetric vortices in the A, A₁ and planar phases contain the fermionic condensate with a completely flat band and zero energy. The o-vortex in the B-phase contains 1D Fermi liquids, formed by fermions occupying the branches which cross the zero level. The number of such Fermi liquids increases with increasing external magnetic field. The fermionic spectrum in this vortex is described by the “orbital” and spin momenta interacting with the effective internal magnetic field produced by the vortex and with the external field. Most of the information is obtained using the vortex symmetry which determines symmetry properties of the fermionic spectrum.     

Decay of quantized vorticity in superfluid He at mK temperatures

An experimental investigation of the free decay of quantized turbulence in isotopically pure superfluid ⁴He at mK temperatures is discussed. Vortices are created by a vibrating grid, and detected by their trapping of negative ions. Preliminary results suggest the existence of a temperature-independent vortex decay mechanism below T70 mK.     

Faraday waves and vortices on the surface of superfluid He II

It has been shown that the interaction between Faraday waves excited on the surface of He II by intense vertical vibrations of the sample cell can lead to the emergence of macroscopic vortices on the surface of the superfluid liquid, as in the case of an ordinary classical liquid. Visualization of phenomena on the surface of He II by light glass tracers with a diameter of ~0.2 mm localized beneath the surface of He II has allowed observing the emergence of a vortex lattice on the surface of the vibrating superfluid liquid in square and cylindrical cells and the evolution of the vortex structure after switching off the pumping.     

Currents in superfluid 3He

In the Ginsburg-Landau region the hydrodynamic variables for superfluid ³He are defined by means of the Lie algebra of the gauge group SO(3) x SO(3) x U(1) for the order parameter. The equilibrium of two different superfluid phases of ³He is considered within the framework of this method. At the surface, dividing the two regions filled with these phases, we consider joint conditions on currents and topological structures.     

Dirac and Yang monopoles revisited

The Dirac monopoles in 3-space and their generalization by C.N. Yang to 5-space are observed to be just the Levi-Civita spin connections of the cylindrical Riemannian metric on the 3-and 5-dimensional punctured spaces respectively. Their straightforward generalization to higher dimensions is also investigated.