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Direct and inverce cascades in turbulent Bose-Einstein condensate Full article

Journal Physical Review Letters
ISSN: 0031-9007
Output data Year: 2023, Volume: 130, Number: 13, Article number : 133001, Pages count : 6 DOI: 10.1103/PhysRevLett.130.133001
Authors Zhu Y 1 , Semisalov Boris 2,3,4 , Krstulovic G. 2 , Nazarenko S. 1
Affiliations
1 Universit ́e Cˆote d’Azur, CNRS, Institut de Physique de Nice (INPHYNI), Parc Valrose, 06108 Nice, France
2 Universit ́e Cˆote d’Azur, Observatoire de la Cˆote d’Azur, CNRS, Laboratoire Lagrange, Boulevard de l’Observatoire CS 34229 – F 06304 Nice Cedex 4, France
3 Novosibirsk State University, 1 Pirogova street, 630090 Novosibirsk, Russia
4 Sobolev Institute of Mathematics SB RAS

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0008

Abstract: When a Bose-Einstein condensate (BEC) is driven out of equilibrium, density waves interact nonlinearly and trigger turbulent cascades. In a turbulent BEC, energy is transferred toward small scales by a direct cascade, whereas the number of particles displays an inverse cascade toward large scales. In this work, we study analytically and numerically the direct and inverse cascades in wave-turbulent BECs. We analytically derive the Kolmogorov-Zakharov spectra, including the log correction to the direct cascade scaling and the universal prefactor constants for both cascades. We test and corroborate our predictions using high resolution numerical simulations of the forced-dissipated Gross-Pitaevskii model in a periodic box and the corresponding wave-kinetic equation. Theoretical predictions and data are in excellent agreement, without adjustable parameters. Moreover, in order to connect with experiments, we test and validate our theoretical predictions using the Gross-Pitaevskii model with a confining cubic trap. Our results explain previous experimental observations and suggest new settings for future studies.
Cite: Zhu Y. , Semisalov B. , Krstulovic G. , Nazarenko S.
Direct and inverce cascades in turbulent Bose-Einstein condensate
Physical Review Letters. 2023. V.130. N13. 133001 :1-6. DOI: 10.1103/PhysRevLett.130.133001 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Sep 14, 2022
Accepted: Feb 21, 2023
Published print: Mar 27, 2023
Published online: Mar 27, 2023
Identifiers:
Web of science: WOS:000960523100009
Scopus: 2-s2.0-85152107891
Elibrary: 61216170
OpenAlex: W4360998639
Citing:
DB Citing
Web of science 28
Scopus 27
OpenAlex 33
Elibrary 21
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