Twisted superfluids in moving frame

TL;DR

This paper explores how helical waveguides filled with superfluid can convert rotational motions into linear displacements and vice versa, revealing potential for enhanced phase sensitivity in matter-wave interferometry.

Contribution

It introduces a theoretical model demonstrating the transformation between rotations and linear displacements in superfluid-filled helical waveguides, with exact solutions showing a redshift phase factor and potential for improved interferometric sensitivity.

Findings

Exact solutions show emergence of redshift phase factor.

High angular momentum vortices can significantly improve phase sensitivity.

Theoretical framework for rotation-linear displacement conversion in superfluids.

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 $L_z=\pm \ell \hbar \sim \pm \hbar \cdot 10^{3 \div 4}$ one may expect the significant improvement of the phase-sensitivity $\delta \phi$ by factor containing $2 \ell$ compared to the conventional nonsingular matter-wave interferometry.