Arbitrary-angle rotation of the polarization of a dipolar Bose-Einstein condensate

Abstract

We have employed the theory of harmonically trapped dipolar Bose-Einstein condensates to examine the influence of a uniform magnetic field that rotates at an arbitrary angle to its own orientation. This is achieved by semi-analytically solving the dipolar superfluid hydrodynamics of this system within the Thomas-Fermi approximation and by allowing the body frame of the condensate's density profile to be tilted with respect to the symmetry axes of the nonrotating harmonic trap. This additional degree of freedom manifests itself in the presence of previously unknown stationary solution branches for any given dipole tilt angle. We also find that the tilt angle of the stationary state's body frame with respect to the rotation axis is a nontrivial function of the trapping geometry, rotation frequency, and dipole tilt angle. For rotation frequencies of at least an order of magnitude higher than the in-plane trapping frequency, the stationary state density profile is almost perfectly equivalent to the profile expected in a time-averaged dipolar potential that effectively vanishes when the dipoles are tilted along the "magic angle" 54.7 deg. However, by linearizing the fully time-dependent superfluid hydrodynamics about these stationary states, we find that they are dynamically unstable against the formation of collective modes, which we expect would result in turbulent decay.

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 >=…”

Observation of vortices and vortex stripes in a dipolar condensate

“…Similarly to a rotation of a bucket containing superfluid helium or of a smoothly deformed ODT for non-dipolar BECs, magnetostirring is predicted to transfer angular momentum into a dipolar BEC 40,44 . In response to such an imposed rotation, the shape of an irrotational cloud is expected to elongate with an amplitude that increases with the rotation frequency Ω.…”

Observation of vortices and vortex stripes in a dipolar Bose-Einstein condensate

“…Finally, under continuous rotation of the magnetic-field, which we coin "magnetostirring", the condensate is predicted to rotate (a4). This unique approach to stir a dipolar condensate can eventually lead to the nucleation of vortices 41,53 , realizing genuinely interaction-driven vorticity through manybody phenomena.…”

“…fluid helium or of a smoothly deformed ODT for nondipolar BECs, magnetostirring is predicted to transfer angular momentum into a dipolar BEC 41,53 . In response to such an imposed rotation, the shape of an irrotational cloud is expected to elongate with an amplitude that increases with the rotation frequency Ω.…”