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  • Letter
  • Open Access

Localized states in dipolar Bose-Einstein condensates: To be or not to be of second order

A. B. Steinberg

F. Maucher*

S. V. Gurevich and U. Thiele

  • Institut für Theoretische Physik, Universität Münster, Wilhelm-Klemm-Strasse 9, 48149 Münster, Germany

  • Faculty of Mechanical Engineering, Department of Precision and Microsystems Engineering, Delft University of Technology, 2628 CD Delft, The Netherlands

  • Institut für Theoretische Physik, Universität Münster, Wilhelm-Klemm-Strasse 9, 48149 Münster, Germany and Center of Nonlinear Science (CeNoS), Universität Münster, Corrensstrasse 2, 48149 Münster, Germany

  • *Contact author: f.maucher@tudelft.nl
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Phys. Rev. Research 7, L032044 – Published 22 August, 2025

DOI: https://doi.org/10.1103/13k1-rxmw

Abstract

We report the existence of localized patterned states in dipolar Bose-Einstein condensates confined to a tubular geometry. We first perform a bifurcation analysis to track their emergence in an effective one-dimensional domain and find that localized states can become the ground state in suitable parameter regions. Their existence for parameters featuring a supercritical superfluid-supersolid bifurcation shows that supercriticallity is not sufficient to conclude that the phase transition is of second order; hence, density modulations can jump rather than emerge gradually. Finally, we illustrate that localized states also exist in a three-dimensional domain.

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Phys. Rev. Research 7, L032044– Published 22 August, 2025
  • Received 12 July 2024
  • Revised 4 March 2025
  • Accepted 9 July 2025
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