Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate

Madeira, Lucas; García-Orozco, Arnol D.; Moreno-Armijos, Michelle A.; dos Santos, Francisco Ednilson Alves; Bagnato, Vanderlei S.

doi:10.3390/sym13101865

Open AccessArticle

Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate

by

Lucas Madeira

^1,*

,

Arnol D. García-Orozco

¹

,

Michelle A. Moreno-Armijos

¹

,

Francisco Ednilson Alves dos Santos

² and

Vanderlei S. Bagnato

^1,3

¹

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

²

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

³

Hagler Fellow, Hagler Institute for Advanced Study, Texas A&M University, College Station, TX 77843, USA

^*

Author to whom correspondence should be addressed.

Symmetry 2021, 13(10), 1865; https://doi.org/10.3390/sym13101865

Submission received: 20 August 2021 / Revised: 24 September 2021 / Accepted: 29 September 2021 / Published: 3 October 2021

(This article belongs to the Special Issue Symmetry in Many-Body Physics)

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Abstract

Quantum turbulence is characterized by many degrees of freedom interacting non-linearly to produce disordered states, both in space and in time. In this work, we investigate the decaying regime of quantum turbulence in a trapped Bose-Einstein condensate. We present an alternative way of exploring this phenomenon by defining and computing a characteristic length scale, which possesses relevant characteristics to study the establishment of the quantum turbulent regime. We reconstruct the three-dimensional momentum distributions with the inverse Abel transform, as we have done successfully in other works. We present our analysis with both the two- and three-dimensional momentum distributions, discussing their similarities and differences. We argue that the characteristic length allows us to intuitively visualize the time evolution of the turbulent state.

Keywords: quantum turbulence; Bose-Einstein condensate; out-of-equilibrium

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MDPI and ACS Style

Madeira, L.; García-Orozco, A.D.; Moreno-Armijos, M.A.; dos Santos, F.E.A.; Bagnato, V.S. Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate. Symmetry 2021, 13, 1865. https://doi.org/10.3390/sym13101865

AMA Style

Madeira L, García-Orozco AD, Moreno-Armijos MA, dos Santos FEA, Bagnato VS. Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate. Symmetry. 2021; 13(10):1865. https://doi.org/10.3390/sym13101865

Chicago/Turabian Style

Madeira, Lucas, Arnol D. García-Orozco, Michelle A. Moreno-Armijos, Francisco Ednilson Alves dos Santos, and Vanderlei S. Bagnato. 2021. "Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate" Symmetry 13, no. 10: 1865. https://doi.org/10.3390/sym13101865

APA Style

Madeira, L., García-Orozco, A. D., Moreno-Armijos, M. A., dos Santos, F. E. A., & Bagnato, V. S. (2021). Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate. Symmetry, 13(10), 1865. https://doi.org/10.3390/sym13101865

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate

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