Twisted superfluids in moving frame

Abstract

Helical waveguide filled by superfluid is shown to transform rotations of the reference frame ${\vec{\Omega }}_{\oplus }$ into linear displacements of the atomic ensemble and vise versa the linear displacements of the reference frame $\vec{V}$ initialize rotations ${\vec{\Omega }}_{\oplus }$ of ensemble. In the mean-field Gross-Pitaevskii equation with a weakly modulated gravitation potential the exact solutions for macroscopic wavefunction $\Psi$ demonstrate the emergence of $redshift$ phase factor. For helical waveguides formed by phase-conjugated optical vortices with high angular momentum $L_z=\pm \ell \hslash \sim \pm \hslash \cdot 10^{3÷4}$ one may expect the significant improvement of the phase-sensitivity $\delta \varphi$ by factor containing $2\ell$ compared to the conventional nonsingular matter-wave interferometry.

7 pages, 2 figures , submitted to referred journal

References in corpus (3)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Gravitational Wave Detection with Atom Interferometry
• Sagnac interferometry with coherent vortex superposition states in exciton-polariton condensates