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Dynamics of Polar-Core Spin Vortices in Inhomogeneous Spin-1 Bose-Einstein Condensates

by Zachary L. Stevens-Hough, Matthew J. Davis, Lewis A. Williamson

Submission summary

Authors (as registered SciPost users): Matthew Davis · Lewis Williamson
Submission information
Preprint Link: https://arxiv.org/abs/2404.13800v3  (pdf)
Date submitted: 2025-03-18 06:03
Submitted by: Williamson, Lewis
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Atomic, Molecular and Optical Physics - Theory
  • Quantum Physics
Approach: Theoretical

Abstract

In the easy-plane phase, a ferromagnetic spin-1 Bose-Einstein condensate is magnetized in a plane transverse to the applied Zeeman field. This phase supports polar-core spin vortices (PCVs), which consist of phase windings of transverse magnetization. Here we show that spin-changing collisions cause a PCV to accelerate down density gradients in an inhomogeneous condensate. The dynamics is well-described by a simplified model adapted from scalar systems, which predicts the dependence of the dynamics on trap tightness and quadratic Zeeman energy. In a harmonic trap, a PCV accelerates radially to the condensate boundary, in stark contrast to the azimuthal motion of vortices in a scalar condensate. In a trap that has a local potential maximum at the centre, the PCV exhibits oscillations around the trap centre, which persist for a remarkably long time. The oscillations coincide with the emission and reabsorption of axial spin waves, which reflect off the condensate boundary.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

We thank the referee for querying the justification of Eq. (10). We have expanded our discussion on symmetry (paragraph containing Eq. (12) in the new manuscript) and replaced Eq. (10) with a corrected statement of symmetry (Eq. (12) in the new manuscript), which agrees with our previous Eq. (10) at zero stretching. We have also more clearly presented how the symmetry combined with the assumption of small stretching leads to the final equations of motion (Eq. (18) and (19) in the new manuscript).

List of changes

We have improved Sec. 3 to more clearly justify the equations of motion Eq. (18) and (19).

We have improved the qualitative estimate Eq. (23) by more accurately accounting for the background field densities.

We have modified the discussion below Eq. (26) to be consistent with our changes to Sec. 3.

We have made a minor aesthetic change to Fig. 2(b),(e).

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