Damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate

Abstract

Ferromagnetic spin-1 Bose-Einstein condensates in the broken-axisymmetric phase support polar-core spin vortices (PCVs), which are intimately linked to the nonequilibrium dynamics of the system. For a purely transversely magnetized system, the Turner point-vortex model predicts that PCVs behave like massive charged particles interacting via a two-dimensional Coulomb potential. We test the accuracy of the Turner model for two oppositely charged PCVs, via comparisons with numerical simulations. While the bare Turner model shows discrepancies with our numerical results, we find that a simple rescaling of the PCV mass gives much better agreement. This can be explained via a phenomenological damping arising from coupling to modes extrinsic to the point-vortex phase space. We also identify the excitations produced following PCV annihilation, which help elucidate recent phase ordering results. We extend the Turner model to cases where the system is magnetized both transversally and axially, identifying a crossover to scalar vortex dynamics for increasing external Zeeman field.

Making ghost vortices visible in two-component Bose-Einstein condensates

“…As already mentioned, it would be interesting to deepen the study of more complex ghostvortex configurations, both within a suitable analytical model and by means of numerical experiments. Besides this, another possibility is certainly the investigation of the normal (Tkachenko-like) modes of a massive-vortex N -gon (possibly in the presence of mass imbalance [66] or damping [67]), which will thus generalize the results of Ref. [45] obtained in the massless case and further stimulate the current experimental research in real-time vortex dynamics [19,68,69].…”

Massive Quantum Vortices in Superfluids

“…Possible future research directions include the study of massive-vortex dynamics on curved surfaces, thus generalizing the analysis developed in Refs. [21,26,27,28] to the case of nonzero core mass, the introduction of an inter-component coherent coupling [29,30] which may result in time-dependant core masses, component-selective potentials [31,32], dissipation [33], the extension to three-dimensional systems [34,35] and to miscible components [36,37,38]. Also, we are going to investigate the properties of massive-vortex lattices and their associated Tkachenko-like oscillation modes [23].…”

Theory of a superluminous vacuum quanta as the fabric of Space

“…17 A detailed knowledge with mechanics of quantifying vortex systems to monopoles 18 to more specific Lagrangian and Hamiltonian derivation mathematically of vortex systems suitable to analyze vacuum quagmire with monopole & the dipole had already been modeled. 2,[19][20][21][22][23] These studies show that monopoles' physics had mechanics like the fluid system's hydro dynamical vortex systems Searches for monopoles, with scientists all over the world, consisted of two categories experimentally typically: (1) detecting preexisting monopoles, (2) creating and detecting then new monopoles. [24][25][26][27][28][29][30][31][32][33] Mathematical techniques explored here to solve eigen value problem might set a precedence to abstract who listic observational physics with mathematical preciseness, applicable further to provable generalized quantum relativistic grand formalism.…”

“….i) and(21.ii) together form Equation(21).Equations(19),(20), & (21) will give result: .i) and(22.ii) together form Equation(22).Performing differential algebraic manipulations, like Equation (19), having set of differential equations, for | λ >=…”