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  • Open Access

Generation of a scalar vortex in a rotational frame

M. Bordag*

D. N. Voskresensky†

  • *Contact author: bordag@theor.jinr.ru
  • †Contact author: dvoskre@theor.jinr.ru
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Phys. Rev. D 112, 085026 – Published 29 October, 2025

DOI: https://doi.org/10.1103/y2lc-27pn

Abstract

We consider generation from the vacuum of a scalar charged field in a rigidly rotating frame. Adding an external magnetic field opens the way to Bose condensation of the field. This phenomenon has been studied for an external uniform magnetic field occupying the whole volume of the uniformly rotating cylindrical system of finite radius R with a Dirichlet boundary condition imposed on it. In addition to continuing this study, we consider the field formed by a flux tube of small radius. We find numerical solutions of the Gross-Pitaevskii equation for the charged scalar field, the critical rotation frequencies, the mean radii, and the condensate energies and compare them with those found in a linearization scheme and with approximate analytical solutions. We show that for the same input parameters the energy of the condensate in the case of the flux tube is lower than in the case of uniform magnetic field in the whole cylinder.

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Phys. Rev. D 112, 085026– Published 29 October, 2025
  • Received 20 July 2025
  • Accepted 7 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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