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Momentum distribution of Vinen turbulence in trapped atomic Bose–Einstein condensates

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Abstract

The decay of multicharged vortices in trapped Bose–Einstein condensates may lead to a disordered vortex state consistent with the Vinen regime of turbulence, characterized by an absence of large-scale flow and an incompressible kinetic energy spectrum \(E\propto k^{-1}\). In this work, we study numerically the dynamics of a three-dimensional harmonically trapped Bose–Einstein condensate excited to a Vinen regime of turbulence through the decay of two doubly-charged vortices. First, we study the momentum distribution and observe the emergence of a power-law behavior \(n(k)\propto k^{-3}\) consistent with the coexistence of wave turbulence. We also study the kinetic energy and particle fluxes, which allows us to identify a direct particle cascade associated with the turbulent stage.

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Acknowledgements

This work was supported by the São Paulo Research Foundation (FAPESP) under the Grants 2013/07276-1, 2014/50857-8, 2017/09390-7, and 2018/09191-7, and by the National Council for Scientific and Technological Development (CNPq) under the Grant 465360/2014-9.

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Authors and Affiliations

  1. Instituto de Física de São Carlos, Universidade de São Paulo, CP 369, São Carlos, São Paulo, 13560-970, Brazil

    Áttis V. M. Marino, Lucas Madeira & Vanderlei S. Bagnato

  2. Departamento de Física, Universidade Federal de São Carlos, São Carlos, 13565-905, Brazil

    André Cidrim & F. E. A. dos Santos

  3. Department of Biomedical Engineering, Texas A&M University, College Station, TX, 77843, USA

    Vanderlei S. Bagnato

Authors
  1. Áttis V. M. Marino
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  2. Lucas Madeira
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  3. André Cidrim
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  4. F. E. A. dos Santos
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  5. Vanderlei S. Bagnato
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Contributions

Conceptualization, FEAS and VSB; methodology, LM and AC; software, AVMM and AC; formal analysis, LM and AC; writing–original draft preparation, LM and AC; writing–review and editing, FEAS and VSB; visualization, AVMM. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Lucas Madeira.

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Marino, Á.V.M., Madeira, L., Cidrim, A. et al. Momentum distribution of Vinen turbulence in trapped atomic Bose–Einstein condensates. Eur. Phys. J. Spec. Top. 230, 809–812 (2021). https://doi.org/10.1140/epjs/s11734-021-00083-3

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  • DOI: https://doi.org/10.1140/epjs/s11734-021-00083-3

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