Andreev-Bashkin effect and knot solitons in interacting mixture of a charged and a neutral superfuids with possible releveance for neutron stars

Abstract

We discuss a mixture of interacting a neutral and a charged Bose condensates, which is supposed being realized in interior of neutron stars in form of coexistent neutron superfluid and protonic superconductor. We show that in this system, besides ordinary vortices of $S^1\to S^1$ map, the neutron condensate also allows for (meta)stable finite-length knotted solitons, which are characterized by a nontrivial Hopf invariant and in some circumsatnces are stablized by Faddeev-Skyrme term induced by drag effect. We also consider a helical protonic fluxtube in this system and show that, in contrast, it does not induce a Faddeev-Skyrme term.

v3: Various minor extentions and added references following referees reports. v4: a couple of minor clarifying remarks in text, no changes in results

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Cited by in corpus (26)

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• Vortex knots in a Bose-Einstein condensate
• A Minimal Nuclear Energy Density Functional
• Vortices with massive cores in a binary mixture of Bose-Einstein condensates
• Non-dissipative drag of superflow in a two-component Bose gas
• Andreev-Bashkin effect in superfluid cold gases mixture
• Flux tubes and the type-I/type-II transition in a superconductor coupled to a superfluid
• Non-Meissner electrodynamics and knotted solitons in two-component superconductors
• Unconventional rotational responses of hadronic superfluids in a neutron star caused by strong entrainment and a ${\Sigma }^{-}$ hyperon gap
• Superfluid drag in the two-component Bose-Hubbard model
• Coupled superfluidity of binary Bose mixtures in two dimensions
• Skyrmions induced by dissipationless drag in U(1)xU(1) superconductors
• Multiple-q current states in a multicomponent superconducting channel
• Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model
• Fractional-flux vortices and spin superfluidity in triplet superconductors
• Resonant oscillations of GeV - TeV neutrinos in internal shocks from gamma-ray burst jets inside the stars
• Critical velocities in two-component superfluid Bose gases
• Linked and knotted synthetic magnetic fields
• Critical currents and giant non-dissipative drag for superfluid electron-hole pairs in quantum Hall multilayers
• Topological aspects of dual superconductors
• Detecting Entrainment in Fermi-Bose Mixtures
• Superfluid drag between excitonic polaritons and superconducting electron gas
• Magnetoroton in a two-dimensional Bose-Bose mixture
• Topological aspects in a two component Bose condensed system in neutron star
• Surface energy of magnetized superconducting matter in the neutron star cores
• Differentiating short gamma-ray bursts progenitors through multi-MeV neutrinos