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Condensed Matter > Quantum Gases

arXiv:2407.09177 (cond-mat)
[Submitted on 12 Jul 2024]

Title:Localized States in Dipolar Bose-Einstein Condensates: To be or not to be of second order

Authors:Alina Barbara Steinberg, Fabian Maucher, Svetlana Gurevich, Uwe Thiele
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Abstract:We report the existence of localized states in dipolar Bose-Einstein condensates confined to a tubular geometry. We first perform a bifurcation analysis to track their emergence in a one-dimensional domain for numerical feasibility and find that localized states can become the ground state in suitable parameter regions. Their existence for parameters featuring a supercritical primary bifurcation shows that the latter is not sufficient to conclude that the phase transition is of second order, hence density modulations can jump rather than emerging gradually. Finally, we show that localized states also exist in a three-dimensional domain.
Subjects: Quantum Gases (cond-mat.quant-gas); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:2407.09177 [cond-mat.quant-gas]
  (or arXiv:2407.09177v1 [cond-mat.quant-gas] for this version)
  https://doi.org/10.48550/arXiv.2407.09177

Submission history

From: Alina Barbara Steinberg [view email]
[v1] Fri, 12 Jul 2024 11:22:04 UTC (647 KB)
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