Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates

Anxo Biasi, Piotr Bizoń, Ben Craps, and Oleg Evnin
Phys. Rev. A 96, 053615 – Published 10 November 2017

Abstract

The lowest Landau level (LLL) equation emerges as an accurate approximation for a class of dynamical regimes of Bose-Einstein condensates (BEC) in two-dimensional isotropic harmonic traps in the limit of weak interactions. Building on recent developments in the field of spatially confined extended Hamiltonian systems, we find a fully nonlinear solution of this equation representing periodically modulated precession of a single vortex. Motions of this type have been previously seen in numerical simulations and experiments at moderately weak coupling. Our paper provides a controlled analytic prediction for trajectories of a single vortex, suggests new targets for experiments, and opens up the prospect of finding analytic multivortex solutions.

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  • Received 9 May 2017

DOI:https://doi.org/10.1103/PhysRevA.96.053615

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & OpticalNonlinear Dynamics

Authors & Affiliations

Anxo Biasi1, Piotr Bizoń2,3, Ben Craps4, and Oleg Evnin3,4

  • 1Departamento de Física de Partículas, Universidade de Santiago de Compostela and Instituto Galego de Física de Altas Enerxías (IGFAE), Santiago de Compostela 15782, Spain
  • 2Institute of Physics, Jagiellonian University, Kraków 30-348, Poland
  • 3Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
  • 4Theoretische Natuurkunde, Vrije Universiteit Brussel and The International Solvay Institutes, Brussels 1050, Belgium

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Issue

Vol. 96, Iss. 5 — November 2017

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